{"id":31280,"date":"2023-06-26T15:38:00","date_gmt":"2023-06-26T15:38:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31280"},"modified":"2023-11-16T05:14:44","modified_gmt":"2023-11-16T05:14:44","slug":"base-area-of-a-cylinder-definition-formula-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder","title":{"rendered":"Base Area of a Cylinder &#8211; Definition, Formula, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-0193bc15-00fb-4c8a-ba82-e3a411e5aa8a\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder#0-what-is-the-base-area-of-a-cylinder>What Is the Base Area of a Cylinder?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder#3-how-to-find-the-base-area-of-a-cylinder>How to Find the Base Area of a Cylinder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder#6-formula-for-circumference-of-base-of-cylinder>Formula for Circumference of Base of Cylinder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder#9-solved-examples-on-base-area-of-a-cylinder>Solved Examples on Base Area of a Cylinder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder#10-practice-problems-on-base-area-of-a-cylinder>Practice Problems on Base Area of a Cylinder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder#11-frequently-asked-questions-about-the-base-area-of-a-cylinder>Frequently Asked Questions about the Base Area of a Cylinder<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-base-area-of-a-cylinder\">What Is the Base Area of a Cylinder?<\/h2>\n\n\n\n<p><strong>The base area of a cylinder is the area of its circular base. If the radius of the circular base is r units, then the base area of cylinder is <\/strong>$\\pi r^{2}$<strong>.<\/strong>&nbsp;<\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cylinder\">cylinder<\/a> is a geometric solid or a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\">3D shape<\/a> with a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curved-surface\">curved surface<\/a> and two circular bases.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"374\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/parts-of-a-cylinder-base-top-curved-surface.png\" alt=\"Parts of a cylinder - base, top, curved surface\" class=\"wp-image-36027\" title=\"Parts of a cylinder - base, top, curved surface\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/parts-of-a-cylinder-base-top-curved-surface.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/parts-of-a-cylinder-base-top-curved-surface-300x181.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-multiples-of-100-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_multiples_100_model_pt.png\" alt=\"Add Multiples of 100 Using Base-10 Blocks Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Multiples of 100 Using Base-10 Blocks Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-to-find-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_find_area_pt.png\" alt=\"Add to Find the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add to Find the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_2d_model_pt.png\" alt=\"Add Using Base-10 blocks Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add Using Base-10 blocks Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-of-composite-figure\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_10_gm.png\" alt=\"Area of Composite Figure Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area of Composite Figure Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area with Unit Squares and Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-word-problems-on-product-of-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area Word Problems on Product of Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-the-area\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_3_4_5_gm.png\" alt=\"Build the Area Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Build the Area Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-equivalent-value-based-on-place-value\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/place_value_relate_value_diff_places_pt.png\" alt=\"Choose the Equivalent Value Based on Place Value Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Equivalent Value Based on Place Value Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compose-numbers-based-on-tens-and-ones\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/place_value_compose_10s_1s_1_pt.png\" alt=\"Compose Numbers based on Tens and Ones Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compose Numbers based on Tens and Ones Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-in-tens-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/place_value_count_10s_base_10_block_pt.png\" alt=\"Count in Tens using Base 10 Blocks Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count in Tens using Base 10 Blocks Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-base-area-of-cylinder-definition\">Base Area of Cylinder: Definition<\/h2>\n\n\n\n<p>The amount of space occupied by a flat circular surface lying at the bottom of the cylinder is known as the base area of the cylinder. The base of the cylinder is the circle. Hence, the base area of the cylinder is the area of the circle.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-like-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-multiples-of-10-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-multiples-of-10-using-base-10-blocks.jpeg\" alt=\"Add Multiples of 10 using Base 10 Blocks Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-fractions-using-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-fractions-using-area-model.jpeg\" alt=\"Compare Fractions Using Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/compare-using-base-10-blocks\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/compare-using-base-10-blocks.jpeg\" alt=\"Compare Using Base-10 Blocks Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-area-model.jpeg\" alt=\"Complete the Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-equation-for-the-area-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-equation-for-the-area-model.jpeg\" alt=\"Complete the Equation for the Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/convert-mixed-numbers-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/convert-mixed-numbers-using-area-models.jpeg\" alt=\"Convert Mixed Numbers Using Area Models Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/create-area-models-to-multiply-unit-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t   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slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-base-area-of-cylinder-formula\">Base Area of Cylinder Formula<\/h2>\n\n\n\n<p>If \u201cr\u201d represents the radius of the circular base of the cylinder, then the base area of the cylinder is nothing but the area of a circle with radius \u201cr.\u201d&nbsp;<\/p>\n\n\n\n<p>Area of a circle with radius $r = \\pi r^{2}$.&nbsp;<\/p>\n\n\n\n<p>Thus, the formula for the base area of cylinder is&nbsp;<\/p>\n\n\n\n<p><strong>Base Area of a Cylinder <\/strong>$= \\pi r^{2}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/base-area-of-cylinder-formula.png\" alt=\"Base area of cylinder formula\" class=\"wp-image-36028\" title=\"Base area of cylinder formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/base-area-of-cylinder-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/base-area-of-cylinder-formula-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-find-the-base-area-of-a-cylinder\">How to Find the Base Area of a Cylinder<\/h2>\n\n\n\n<p>Let\u2019s understand how to find the area of the base of a cylinder.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong><strong> <\/strong>Note down the radius \u201cr\u201d of the given cylinder. If the diameter is given, divide it by 2 to find the radius.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Substitute the value of \u201cr\u201d in the formula for finding the base area of the cylinder, given by<\/p>\n\n\n\n<p>Base area of the cylinder $= \\pi r^{2}$<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Assign the appropriate unit. Area is measured in square units.<\/p>\n\n\n\n<p><strong>Example: Find the area of the base of the cylinder with radius 7 feet.<\/strong><\/p>\n\n\n\n<p>Let radius $(r) = 7$ feet<\/p>\n\n\n\n<p>Applying the formula, we get<\/p>\n\n\n\n<p>Area $= \\pi r^{2} = \\frac{22}{7} \\times 7 \\times 7 = 154$ square feet<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-using-base-area-of-cylinder-to-find-surface-area-and-volume\">Using Base Area of Cylinder to Find Surface Area and Volume<\/h2>\n\n\n\n<p>The base area is commonly used to find the volume of solids like prisms, pyramids, etc. The volume of a 3D shape is generally calculated by multiplying the base area by its height. Let\u2019s understand how to use the base area of the cylinder to calculate the total surface area and volume of the cylinder.<\/p>\n\n\n\n<p><strong>Surface Area of a Cylinder<\/strong><\/p>\n\n\n\n<p>The total surface area of a cylinder is the sum of the two circular bases and the curved surface area.<\/p>\n\n\n\n<p>Base area of cylinder $= \\pi r^{2}$<\/p>\n\n\n\n<p>Thus, area of two circular bases $= 2\\pi r^{2}$<\/p>\n\n\n\n<p>Curved surface area $= 2\\pi rh$<\/p>\n\n\n\n<p><strong>Total Surface Area <\/strong>$= 2 \\pi rh + 2 \\pi r^{2} = 2\\pi r(r + h)$<\/p>\n\n\n\n<p><strong>Volume of a Cylinder<\/strong><\/p>\n\n\n\n<p>The volume of the cylinder is the total space occupied by the cylinder, which is the product of the base area and height.<\/p>\n\n\n\n<p>$\\text{Volume} = \\text{Base area} \\times \\text{Height}$<\/p>\n\n\n\n<p>Volume $= \\pi r^{2} \\times h$<\/p>\n\n\n\n<p>Volume $= \\pi r^{2}h$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-circumference-of-the-base-of-a-cylinder\">Circumference of the Base of a Cylinder<\/h2>\n\n\n\n<p>The circumference of the base of the cylinder can be defined as the circumference of the circle at the base of the cylinder. It is the length of the boundary of the circular base.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"313\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/circumference-of-the-base-of-a-cylinder.png\" alt=\"Circumference of the base of a cylinder\" class=\"wp-image-36029\" title=\"Circumference of the base of a cylinder\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/circumference-of-the-base-of-a-cylinder.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/circumference-of-the-base-of-a-cylinder-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-formula-for-circumference-of-base-of-cylinder\">Formula for Circumference of Base of Cylinder<\/h2>\n\n\n\n<p>The formula for calculating the circumference of the base of the cylinder with radius r is the same as the circumference of the circle with radius r.<\/p>\n\n\n\n<p>Circumference of the base of the circle $= 2\\pi r$<\/p>\n\n\n\n<p>(If the curved surface area of the cylinder is given, we can find the circumference of the base of the circle by dividing the curved surface area by the height of the cylinder.)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-base-area-of-a-cylinder\">Facts about Base Area of a Cylinder<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The base area of an elliptical cylinder is the area of the ellipse at the base of the cylinder. It is given by ab, where a is the semi-major axis, and b is the semi-minor axis.<\/li>\n\n\n\n<li>The base area of the hollow cylinder is the area of the circular ring at its base. It is given by $(\\pi R^{2} \\;\u2013\\; \\pi r^{2}) = \\pi (R^{2} \\;\u2013\\; r^{2})$, where R is the outer radius, and r is the inner radius.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned how to find the base area of a cylinder. We also learned how to use the base area of a cylinder to find the surface area and volume of a cylinder. Let\u2019s solve a few examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-base-area-of-a-cylinder\">Solved Examples on Base Area of a Cylinder<\/h2>\n\n\n\n<p><strong>1. If the radius of the cylinder is 0.07 inches, what will be the base area?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Radius (r) $= 0.07$ inches<\/p>\n\n\n\n<p>Base Area $= \\pi r^{2}$<\/p>\n\n\n\n<p>&nbsp; &nbsp; &nbsp; $= \\frac{22}{7} \\times 0.07 \\times 0.07$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 0.0154$ square inches<\/p>\n\n\n\n<p><strong>2. Find the radius of the cylinder if the base area is 346.5 square units.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Let radius be r units.<\/p>\n\n\n\n<p>Base Area $= \\pi r^{2}$&nbsp;<\/p>\n\n\n\n<p>$346.5 = \\frac{22}{7} \\times r^{2}$<\/p>\n\n\n\n<p>$r^{2} = \\frac{346.5 \\times 7}{22}$<\/p>\n\n\n\n<p>$r^{2} = 110.25$<\/p>\n\n\n\n<p>$r = 10.5$ inches<\/p>\n\n\n\n<p><strong>3. The circumference of the base of the cylinder is 88 feet. Find the base area of the cylinder.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Circumference of the base of the cylinder $= 2r<\/p>\n\n\n\n<p>$88 = 2 \\times \\frac{22}{7} \\times r$<\/p>\n\n\n\n<p>$r = \\frac{88 \\times 7}{2 \\times 22}$&nbsp;<\/p>\n\n\n\n<p>$r = 2 \\times 7$<\/p>\n\n\n\n<p>$r = 14$ feet<\/p>\n\n\n\n<p>Base Area $=  \\pi r^{2} = \\frac{22}{7} \\times 14 \\times 14 = 616$ square feet<\/p>\n\n\n\n<p><strong>4. The total surface area of the cylinder is 880 square inches. The curved surface area of the cylinder is 572 square inches. Find the base area.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Total Surface Area of the cylinder $= 880$ square inches<\/p>\n\n\n\n<p>Curved Surface Area of the cylinder $= 572$ square inches<\/p>\n\n\n\n<p>Total Surface Area $=$ Curved Surface Area $+$ (2 Base Area)<\/p>\n\n\n\n<p>$880 = 572 + $(2 Base Area)<\/p>\n\n\n\n<p>2 Base Area $= 880 \\;\u2013\\; 572$<\/p>\n\n\n\n<p>2 Base Area $= 308$<\/p>\n\n\n\n<p>Base Area $= \\frac{308}{2} = 154$ square inches<\/p>\n\n\n\n<p><strong>5. What is the base area of the given cylinder?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"196\" height=\"265\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/cylinder-with-radius-35-units.png\" alt=\"Cylinder with radius 3.5 units\" class=\"wp-image-36031\" title=\"Cylinder with radius 3.5 units\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Radius $= r = 3.5$ units<\/p>\n\n\n\n<p>Base Area $= \\pi r^{2}$<\/p>\n\n\n\n<p>Base Area $= \\pi r^{2} = \\frac{22}{7} \\times 3.5 \\times 3.5$<\/p>\n\n\n\n<p>Base Area $= 38.5$ square units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-base-area-of-a-cylinder\">Practice Problems on Base Area of a Cylinder<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Base Area of a Cylinder - Definition, Formula, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">If the radius of the cylinder is 1 inch, what will be the base area?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">22 square inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">3.14 square inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">6.28 square inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">50.4 square inches<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3.14 square inches<br\/>Radius $(r) = 1$ inch<br>\r\nBase Area $= \\pi r^{2} = \\frac{22}{7} \\times 1 \\times 1 \\approx 3.14$ square inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Find the radius of the cylinder if the base area is 1386 square feet.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">21 feet<\/div><div class=\"spq_answer_block\" data-value=\"1\">14 feet<\/div><div class=\"spq_answer_block\" data-value=\"2\">7 feet<\/div><div class=\"spq_answer_block\" data-value=\"3\">49 feet<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 21 feet<br\/>Let radius be r inches.<br>\r\nBase Area $= \\pi r^{2}$<br>\r\n$1386 = \\frac{22}{7} \\times r^{2}$<br>\r\n$r^{2} = \\frac{1386 \\times 7}{22} = 441$<br>\r\n$r = 21$feet<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The base area of a cylinder with radius \u201cr\u201d is given by<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2\\pi r$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\pi r^{2}h$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\pi r^{2}$<br\/>Base area of a cylinder with radius \u201cr\u201d $=\\pi r^{2}$ <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the base area of the cylinder if the volume is 440 cubic inches and height is 22 inches.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">11 square inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">16 square inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">18 square inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">20 square inches<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 20 square inches<br\/>Volume $= 440$ cubic inches<br>\r\nHeight $= 22$ inches<br>\r\nVolume $=$ Base Area $\\times$ Height<br>\r\n$440 =$ Base Area $\\times 22$\r\nBase Area $= \\frac{440}{22} = 20$ square inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">A cylinder has a base area of 153.86 square inches. Find the radius of the cylinder $(\\pi = 3.14)$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0.7 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">14 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">7 inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">1.4 inches<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 7 inches<br\/>Base Area $= 153.86$ square inches<br>\r\n$\\pi r^{2} = 153.86$<br>\r\n$3.14 \\times r^{2} = 153.86$<br>\r\n$r^{2} = 49$<br>\r\n$r = 7$ in<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this 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 \"text\": \"Radius $$(r) = 1$$ inch<br>\r\nBase Area $$= \\\\pi r^{2} = \\\\frac{22}{7} \\\\times 1 \\\\times 1 \\\\approx 3.14$$ square inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"22 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius $$(r) = 1$$ inch<br>\r\nBase Area $$= \\\\pi r^{2} = \\\\frac{22}{7} \\\\times 1 \\\\times 1 \\\\approx 3.14$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6.28 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius $$(r) = 1$$ inch<br>\r\nBase Area $$= \\\\pi r^{2} = \\\\frac{22}{7} \\\\times 1 \\\\times 1 \\\\approx 3.14$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"50.4 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius $$(r) = 1$$ inch<br>\r\nBase Area $$= \\\\pi r^{2} = \\\\frac{22}{7} \\\\times 1 \\\\times 1 \\\\approx 3.14$$ square inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3.14 square inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Radius $$(r) = 1$$ inch<br>\r\nBase Area $$= \\\\pi r^{2} = \\\\frac{22}{7} \\\\times 1 \\\\times 1 \\\\approx 3.14$$ square inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Radius $$(r) = 1$$ inch<br>\r\nBase Area $$= \\\\pi r^{2} = \\\\frac{22}{7} \\\\times 1 \\\\times 1 \\\\approx 3.14$$ square inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the radius of the cylinder if the base area is 1386 square feet.\",\n                    \"text\": \"Find the radius of the cylinder if the base area is 1386 square feet.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let radius be r inches.<br>\r\nBase Area $$= \\\\pi r^{2}$$<br>\r\n$$1386 = \\\\frac{22}{7} \\\\times r^{2}$$<br>\r\n$$r^{2} = \\\\frac{1386 \\\\times 7}{22} = 441$$<br>\r\n$$r = 21$$feet\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"14 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let radius be r inches.<br>\r\nBase Area $$= \\\\pi r^{2}$$<br>\r\n$$1386 = \\\\frac{22}{7} \\\\times r^{2}$$<br>\r\n$$r^{2} = \\\\frac{1386 \\\\times 7}{22} = 441$$<br>\r\n$$r = 21$$feet\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let radius be r inches.<br>\r\nBase Area $$= \\\\pi r^{2}$$<br>\r\n$$1386 = \\\\frac{22}{7} \\\\times r^{2}$$<br>\r\n$$r^{2} = \\\\frac{1386 \\\\times 7}{22} = 441$$<br>\r\n$$r = 21$$feet\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"49 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let radius be r inches.<br>\r\nBase Area $$= \\\\pi r^{2}$$<br>\r\n$$1386 = \\\\frac{22}{7} \\\\times r^{2}$$<br>\r\n$$r^{2} = \\\\frac{1386 \\\\times 7}{22} = 441$$<br>\r\n$$r = 21$$feet\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"21 feet\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let radius be r inches.<br>\r\nBase Area $$= \\\\pi r^{2}$$<br>\r\n$$1386 = \\\\frac{22}{7} \\\\times r^{2}$$<br>\r\n$$r^{2} = \\\\frac{1386 \\\\times 7}{22} = 441$$<br>\r\n$$r = 21$$feet\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let radius be r inches.<br>\r\nBase Area $$= \\\\pi r^{2}$$<br>\r\n$$1386 = \\\\frac{22}{7} \\\\times r^{2}$$<br>\r\n$$r^{2} = \\\\frac{1386 \\\\times 7}{22} = 441$$<br>\r\n$$r = 21$$feet\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The base area of a cylinder with radius \u201cr\u201d is given by\",\n                    \"text\": \"The base area of a cylinder with radius \u201cr\u201d is given by\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Base area of a cylinder with radius \u201cr\u201d $$=\\\\pi r^{2}$$ \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area of a cylinder with radius \u201cr\u201d $$=\\\\pi r^{2}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\pi r$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area of a cylinder with radius \u201cr\u201d $$=\\\\pi r^{2}$$ \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\pi r^{2}h$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area of a cylinder with radius \u201cr\u201d $$=\\\\pi r^{2}$$ \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\pi r^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Base area of a cylinder with radius \u201cr\u201d $$=\\\\pi r^{2}$$ \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Base area of a cylinder with radius \u201cr\u201d $$=\\\\pi r^{2}$$ \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the base area of the cylinder if the volume is 440 cubic inches and height is 22 inches.\",\n                    \"text\": \"Find the base area of the cylinder if the volume is 440 cubic inches and height is 22 inches.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume $$= 440$$ cubic inches<br>\r\nHeight $$= 22$$ inches<br>\r\nVolume $$=$$ Base Area $$\\\\times$$ Height<br>\r\n$$440 =$$ Base Area $$\\\\times 22$$\r\nBase Area $$= \\\\frac{440}{22} = 20$$ square inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"11 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$= 440$$ cubic inches<br>\r\nHeight $$= 22$$ inches<br>\r\nVolume $$=$$ Base Area $$\\\\times$$ Height<br>\r\n$$440 =$$ Base Area $$\\\\times 22$$\r\nBase Area $$= \\\\frac{440}{22} = 20$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$= 440$$ cubic inches<br>\r\nHeight $$= 22$$ inches<br>\r\nVolume $$=$$ Base Area $$\\\\times$$ Height<br>\r\n$$440 =$$ Base Area $$\\\\times 22$$\r\nBase Area $$= \\\\frac{440}{22} = 20$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$= 440$$ cubic inches<br>\r\nHeight $$= 22$$ inches<br>\r\nVolume $$=$$ Base Area $$\\\\times$$ Height<br>\r\n$$440 =$$ Base Area $$\\\\times 22$$\r\nBase Area $$= \\\\frac{440}{22} = 20$$ square inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"20 square inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume $$= 440$$ cubic inches<br>\r\nHeight $$= 22$$ inches<br>\r\nVolume $$=$$ Base Area $$\\\\times$$ Height<br>\r\n$$440 =$$ Base Area $$\\\\times 22$$\r\nBase Area $$= \\\\frac{440}{22} = 20$$ square inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume $$= 440$$ cubic inches<br>\r\nHeight $$= 22$$ inches<br>\r\nVolume $$=$$ Base Area $$\\\\times$$ Height<br>\r\n$$440 =$$ Base Area $$\\\\times 22$$\r\nBase Area $$= \\\\frac{440}{22} = 20$$ square inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A cylinder has a base area of 153.86 square inches. Find the radius of the cylinder $$(\\\\pi = 3.14)$$.\",\n                    \"text\": \"A cylinder has a base area of 153.86 square inches. Find the radius of the cylinder $$(\\\\pi = 3.14)$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Base Area $$= 153.86$$ square inches<br>\r\n$$\\\\pi r^{2} = 153.86$$<br>\r\n$$3.14 \\\\times r^{2} = 153.86$$<br>\r\n$$r^{2} = 49$$<br>\r\n$$r = 7$$ in\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.7 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base Area $$= 153.86$$ square inches<br>\r\n$$\\\\pi r^{2} = 153.86$$<br>\r\n$$3.14 \\\\times r^{2} = 153.86$$<br>\r\n$$r^{2} = 49$$<br>\r\n$$r = 7$$ in\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"14 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base Area $$= 153.86$$ square inches<br>\r\n$$\\\\pi r^{2} = 153.86$$<br>\r\n$$3.14 \\\\times r^{2} = 153.86$$<br>\r\n$$r^{2} = 49$$<br>\r\n$$r = 7$$ in\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1.4 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base Area $$= 153.86$$ square inches<br>\r\n$$\\\\pi r^{2} = 153.86$$<br>\r\n$$3.14 \\\\times r^{2} = 153.86$$<br>\r\n$$r^{2} = 49$$<br>\r\n$$r = 7$$ in\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Base Area $$= 153.86$$ square inches<br>\r\n$$\\\\pi r^{2} = 153.86$$<br>\r\n$$3.14 \\\\times r^{2} = 153.86$$<br>\r\n$$r^{2} = 49$$<br>\r\n$$r = 7$$ in\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Base Area $$= 153.86$$ square inches<br>\r\n$$\\\\pi r^{2} = 153.86$$<br>\r\n$$3.14 \\\\times r^{2} = 153.86$$<br>\r\n$$r^{2} = 49$$<br>\r\n$$r = 7$$ in\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-about-the-base-area-of-a-cylinder\">Frequently Asked Questions about the Base Area of a Cylinder<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-75893622-eae8-445e-be39-be741cb849af\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-75893622-eae8-445e-be39-be741cb849af\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-75893622-eae8-445e-be39-be741cb849af\"><strong>What is the base area of the cuboid?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-75893622-eae8-445e-be39-be741cb849af\">\n\n<p>The base of a cuboid is a rectangle. The formula for the base area of the cuboid is Length $\\times$ Breadth.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-75893622-eae8-445e-be39-be741cb849af\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-75893622-eae8-445e-be39-be741cb849af\"><strong>What is the base area of a cube?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-75893622-eae8-445e-be39-be741cb849af\">\n\n<p>The base of a cube is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\">square<\/a>. The formula for the base area of the cuboid is Side \u2715 Side.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-75893622-eae8-445e-be39-be741cb849af\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-75893622-eae8-445e-be39-be741cb849af\"><strong>Is the base area of the cylinder the same as the cone?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-75893622-eae8-445e-be39-be741cb849af\">\n\n<p>If the circular base of the cone and the circular base of the cylinder have the same radius, then the base area of a cone equals the base area of a cylinder.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-75893622-eae8-445e-be39-be741cb849af\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-75893622-eae8-445e-be39-be741cb849af\"><strong>What happens to the base area of the cylinder if the radius is doubled?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-75893622-eae8-445e-be39-be741cb849af\">\n\n<p>The base area of the cylinder will become four times if the radius gets doubled.<\/p>\n\n\n\n<p>Original radius $= r$<\/p>\n\n\n\n<p>Original base area of cylinder $= \\pi r^{2}$&nbsp;&nbsp;<\/p>\n\n\n\n<p>New radius $= 2r$<\/p>\n\n\n\n<p>New base area of cylinder $= \\pi (2r^{2}) = 4\\pi r^{2}$<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-75893622-eae8-445e-be39-be741cb849af\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-75893622-eae8-445e-be39-be741cb849af\"><strong>What happens to the base area of the cylinder if the radius is halved?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-75893622-eae8-445e-be39-be741cb849af\">\n\n<p>The base area of the cylinder will become one-fourth times the original area if the radius is half the original radius.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-75893622-eae8-445e-be39-be741cb849af\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-75893622-eae8-445e-be39-be741cb849af\"><strong>How can we find the area of the base of a cylinder?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-75893622-eae8-445e-be39-be741cb849af\">\n\n<p>The area of the base of a cylinder is the area of the circle at the base of the cylinder. It is given by $\\pi r^{2}$, where r is the radius of the cylinder.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Base Area of a Cylinder? The base area of a cylinder is the area of its circular base. If the radius of the circular base is r units, then the base area of cylinder is $\\pi r^{2}$.&nbsp; A cylinder is a geometric solid or a 3D shape with a curved surface and &#8230; <a title=\"Base Area of a Cylinder &#8211; Definition, Formula, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/base-area-of-cylinder\" aria-label=\"More on Base Area of a Cylinder &#8211; Definition, Formula, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-31280","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31280","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=31280"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31280\/revisions"}],"predecessor-version":[{"id":36032,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31280\/revisions\/36032"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31280"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31280"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31280"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}