{"id":35172,"date":"2023-10-22T19:00:00","date_gmt":"2023-10-22T19:00:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=35172"},"modified":"2023-10-28T17:29:36","modified_gmt":"2023-10-28T17:29:36","slug":"surface-area-of-a-hemisphere-definition-formula-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-a-hemisphere","title":{"rendered":"Surface Area of a Hemisphere &#8211; Definition, Formula, Examples"},"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-e6758792-3f94-49c0-99b9-b7259b3f2bdf\" 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\/surface-area-of-a-hemisphere#0-what-is-the-surface-area-of-a-hemisphere>What Is the Surface Area of a Hemisphere?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-a-hemisphere#1-surface-area-of-a-hemisphere-formulas>Surface Area of a Hemisphere: Formulas<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-a-hemisphere#5-how-to-find-the-surface-area-of-a-hemisphere>How to Find the Surface Area of a Hemisphere<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-a-hemisphere#9-solved-examples-on-surface-area-of-a-hemisphere>Solved Examples on Surface Area of a Hemisphere<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-a-hemisphere#10-practice-problems-on-surface-area-of-a-hemisphere>Practice problems on Surface Area of a Hemisphere<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-a-hemisphere#11-frequently-asked-questions-about-surface-area-of-a-hemisphere>Frequently asked questions about Surface Area of a Hemisphere<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-surface-area-of-a-hemisphere\">What Is the Surface Area of a Hemisphere?<\/h2>\n\n\n\n<p><strong>The surface area of a hemisphere is defined as the area covered by the outer surface of a hemisphere. <\/strong>The surface area of a hemisphere is measured in square units.<\/p>\n\n\n\n<p>The surface of a hemisphere consists of a flat circular base and curved surface.&nbsp;<\/p>\n\n\n\n<p>A hemisphere is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\">three-dimensional shape<\/a> that is half of a sphere. The hemisphere can either be hollow or solid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"526\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/surface-area-of-hemisphere.png\" alt=\"Surface area of hemisphere\" class=\"wp-image-35220\" title=\"Surface area of hemisphere\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/surface-area-of-hemisphere.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/surface-area-of-hemisphere-300x254.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/sphere\">sphere<\/a> is a three-dimensional shape. It has no edges. If you cut a sphere into exactly two halves by a plane, each half is called a hemisphere. Simply put, the hemisphere is half of a sphere.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"413\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-sphere-and-a-hemisphere.png\" alt=\"A sphere and a hemisphere\" class=\"wp-image-35221\" title=\"A sphere and a hemisphere\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-sphere-and-a-hemisphere.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-sphere-and-a-hemisphere-300x200.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p>You can see that a hemisphere has one curved surface and 1 flat surface.&nbsp;<\/p>\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-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\/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\/determine-the-area-of-rectilinear-shapes\" 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_rectilinear_shapes_pt.png\" alt=\"Determine the Area of Rectilinear Shapes 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\">Determine the Area of Rectilinear Shapes 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\/find-area-by-multiplying-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_multi_side_length_1_pt.png\" alt=\"Find Area by Multiplying 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\">Find Area by Multiplying 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\/find-area-in-square-units\" 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_1_2_gm.png\" alt=\"Find Area in Square Units 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\">Find Area in Square Units 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\/find-the-area-by-multiplying-the-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_multiply_pt.png\" alt=\"Find the Area by Multiplying the 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\">Find the Area by Multiplying the 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\/find-the-area-of-shapes-using-unit-shapes\" 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_square_side_length_pt.png\" alt=\"Find the Area of Shapes Using Unit Shapes 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\">Find the Area of Shapes Using Unit Shapes 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 = 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});\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-surface-area-of-a-hemisphere-formulas\">Surface Area of a Hemisphere: Formulas<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Description<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Formula<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Base Area of Hemisphere<\/td><td class=\"has-text-align-left\" data-align=\"left\">B $= \\pi r^{2}$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Curved Surface Area of Hemisphere<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>CSA <\/strong>$= 2\\pi r^{2}$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Total Surface Area of Hemisphere<\/td><td class=\"has-text-align-left\" data-align=\"left\"><strong>TSA <\/strong>$= 3\\pi r^{2}$<\/td><\/tr><\/tbody><\/table><\/figure>\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\/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\/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    <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\/create-area-models-to-multiply-unit-fractions.jpeg\" alt=\"Create Area Models to Multiply Unit Fractions Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" 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});\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-curved-surface-area-of-hemisphere\">Curved Surface Area of Hemisphere<\/h2>\n\n\n\n<p>To calculate the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-sphere\">total surface area of the sphere<\/a>, we use the formula:<\/p>\n\n\n\n<p><strong>Total Surface Area of the sphere Formula = 4<\/strong>\u03c0<strong>r<sup>2<\/sup><\/strong>&nbsp;<\/p>\n\n\n\n<p>The curved region of the hemisphere is exactly half of the curved region of the sphere.&nbsp;<\/p>\n\n\n\n<p>Surface area of half a sphere = Curved Surface Area of a Hemisphere<\/p>\n\n\n\n<p>So, we simply need to divide the total surface area of the sphere by 2 to get the curved surface area of the hemisphere.<\/p>\n\n\n\n<p><strong>Curved Surface Area of Hemisphere Formula = 2\u03c0r<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p>where \u2018r\u2019 is the radius of the hemisphere<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-base-area-of-hemisphere\">Base Area of Hemisphere<\/h2>\n\n\n\n<p>The base of the hemisphere is a flat circular shape.&nbsp;<\/p>\n\n\n\n<p>Area of circle = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p>Area of the circular base of a hemisphere = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"471\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/curved-surface-area-and-base-area-of-a-hemisphere.png\" alt=\"Curved surface area and base area of a hemisphere\" class=\"wp-image-35227\" title=\"Curved surface area and base area of a hemisphere\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/curved-surface-area-and-base-area-of-a-hemisphere.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/curved-surface-area-and-base-area-of-a-hemisphere-300x228.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-total-surface-area-of-hemisphere\">Total Surface Area of Hemisphere<\/h2>\n\n\n\n<p><strong>The total surface area of the hemisphere is defined as the sum of the space occupied by the curved area and the flat surface area (or the base area) of the hemisphere.<\/strong><\/p>\n\n\n\n<p>Thus, the total surface area of the hemisphere can be calculated using the following formula:<\/p>\n\n\n\n<p><strong>Total surface area of a hemisphere = Curved Surface Area + Base Area&nbsp;<\/strong><\/p>\n\n\n\n<p>TSA = 2\u03c0r<sup>2<\/sup> + r<sup>2<\/sup>&nbsp;<\/p>\n\n\n\n<p>TSA = 3\u03c0r<sup>2<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-how-to-find-the-surface-area-of-a-hemisphere\">How to Find the Surface Area of a Hemisphere<\/h2>\n\n\n\n<p>Depending on whether we are calculating the curved surface area or the total surface area of a hemisphere, we have to choose the correct formulas.<\/p>\n\n\n\n<p>Lets see steps of how to find curved surface area and total surface area of hemisphere.<\/p>\n\n\n\n<p><strong>Curved Surface Area of Hemisphere<\/strong><\/p>\n\n\n\n<p>Curved Surface Area of the hemisphere = 2\u03c0r<sup>2<\/sup>&nbsp;<\/p>\n\n\n\n<p><strong>Example: Find the curved surface area of a hemisphere with radius 2 units.<\/strong><\/p>\n\n\n\n<p>Note down the radius (r) of the hemisphere.<\/p>\n\n\n\n<p>r= 2 units<\/p>\n\n\n\n<p>Substitute the value in the formula CSA = 2\u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p>CSA = 2\u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p>CSA $= 2 \\times \\frac{22}{7} 2^{2}$<\/p>\n\n\n\n<p>CSA = 25.14 square units<\/p>\n\n\n\n<p><strong>Total Surface Area of Hemisphere<\/strong><\/p>\n\n\n\n<p>The formula to calculate the total surface area (TSA) of a hemisphere with radius &#8216;r&#8217; is given as, TSA of hemisphere = 3\u03c0r<sup>2<\/sup>&nbsp;<\/p>\n\n\n\n<p><strong>Example: Find the curved surface area of a hemisphere with radius 7 units.<\/strong><\/p>\n\n\n\n<p>r = 7 units<\/p>\n\n\n\n<p>TSA of hemisphere = 3\u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p>TSA of hemisphere $= 3 \\times \\frac{22}{7} 7^{2}$<\/p>\n\n\n\n<p>TSA of hemisphere = 462 square units&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-surface-area-of-hollow-hemisphere\">Surface Area of Hollow Hemisphere<\/h2>\n\n\n\n<p>A hollow hemisphere is a three-dimensional shape whose base looks like a flat ring. It is hollow on the inside.<\/p>\n\n\n\n<p>A hollow hemisphere\u2019s inner and outer circular bases can each have a different radius.<br>Because of this, a hollow hemisphere has two curved surfaces, such as an inner and outer curve. A hemisphere&#8217;s thickness is determined by the difference between its inner and outer radii.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"509\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-hollow-hemisphere.png\" alt=\"A hollow hemisphere\" class=\"wp-image-35225\" title=\"A hollow hemisphere\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-hollow-hemisphere.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-hollow-hemisphere-300x247.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p><strong>Surface Area of a Hollow Hemisphere Formula and Derivation<\/strong><\/p>\n\n\n\n<p>If &#8216;r&#8217; is the inner radius (radius of the inside circular base), and &#8216;R&#8217; is the outer radius (radius of the outside circular base), we can derive the following formulas.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The curved surface area of the outer hemisphere = 2\u03c0R<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The curved surface area of the inner hemisphere = 2\u03c0r<sup>2<\/sup><\/li>\n<\/ul>\n\n\n\n<p>Observing the figure given below, we can see that a ring is formed at the base of a hollow hemisphere.&nbsp;<\/p>\n\n\n\n<p>Area of the ring = Area of outer hemisphere &#8211; area of inner hemisphere = (R<sup>2<\/sup> &#8211; r<sup>2<\/sup>)<\/p>\n\n\n\n<p>So, the Total surface area of the hollow hemisphere can be calculated as<\/p>\n\n\n\n<p>TSA of a hollow hemisphere = 2\u03c0R<sup>2<\/sup> + 2\u03c0r<sup>2<\/sup> + \u03c0(R<sup>2<\/sup> &#8211; r<sup>2<\/sup>)<\/p>\n\n\n\n<p>TSA of hollow hemisphere = 2\u03c0(R<sup>2<\/sup> + r<sup>2<\/sup>) + (R<sup>2<\/sup> &#8211; r<sup>2<\/sup>)<\/p>\n\n\n\n<p>TSA of hollow hemisphere = 3\u03c0R<sup>2<\/sup> + r<sup>2<\/sup><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"603\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/understanding-the-total-surface-area-of-hollow-hemisphere.png\" alt=\"Understanding the total surface area of hollow hemisphere\" class=\"wp-image-35224\" title=\"Understanding the total surface area of hollow hemisphere\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/understanding-the-total-surface-area-of-hollow-hemisphere.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/understanding-the-total-surface-area-of-hollow-hemisphere-300x292.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-surface-area-of-hemisphere\">Facts about Surface Area of Hemisphere<\/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 prefix \u201chemi\u201d has a Greek origin and it means \u201chalf.\u201d&nbsp;<\/li>\n\n\n\n<li>A hemisphere is half of the sphere.<\/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 learnt about the surface area of the hemisphere and hollow hemisphere. We also learnt the formulas for the same. Let\u2019s use this knowledge to solve some examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-surface-area-of-a-hemisphere\">Solved Examples on Surface Area of a Hemisphere<\/h2>\n\n\n\n<p><strong>Example 1: Find the surface area of the hemisphere if its radius is 14 units?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The radius of the hemisphere is 14 units.<\/p>\n\n\n\n<p>We know that the total surface area of the hemisphere = <strong>3\u03c0r<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p>&nbsp;Thus, TSA $=&nbsp; 3\\times \\frac{22}{7} \\times 14 \\times 14$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 3 \\times 22 \\times 2 \\times 14$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 1848$ square units.<\/p>\n\n\n\n<p>Therefore, the total surface area of the hemisphere is 1848 square units.<\/p>\n\n\n\n<p><strong>Example 2: Find the surface area of a hollow hemisphere whose outer radius measures 20 units and inner radius is 10 units. (Use \u03c0<\/strong> <strong>= 3.14)<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The outer radius (R) of the hemisphere = 20 units<\/p>\n\n\n\n<p>The inner radius (r) = 10 units<\/p>\n\n\n\n<p>Substituting the value of R and r in the formula, we get<\/p>\n\n\n\n<p>TSA of hollow hemisphere = 3\u03c0R<sup>2<\/sup> + r<sup>2<\/sup><\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= [3\u03c0 \u00d7 (20)<sup>2<\/sup>] + [\u03c0 \u00d7 (10)<sup>2<\/sup>]<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= (3 \u00d7 3.14 \u00d7 400) + (3.14 \u00d7 100)<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 3768 + 314<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 4082 square units<\/p>\n\n\n\n<p>Therefore, the surface area of the hollow hemisphere = 4082 square units.<\/p>\n\n\n\n<p><strong>Example 3: Calculate the radius of a hemisphere if its curved surface area is 500 sq. in.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>A = 500<\/p>\n\n\n\n<p>Curved surface area of hemisphere A = <strong>2\u03c0r<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p>A = <strong>&nbsp;2\u03c0r<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p>$r^{2} = \\frac{A}{2\\pi}$<\/p>\n\n\n\n<p>$r^{2} = \\frac{500}{2 \\times 3.14}$<\/p>\n\n\n\n<p>$r^{2} = \\frac{250}{3.14}$<\/p>\n\n\n\n<p>r<sup>2<\/sup> = 79.617<\/p>\n\n\n\n<p>r = $\\sqrt{79.617}$<\/p>\n\n\n\n<p>r = 8.922<\/p>\n\n\n\n<p>Thus, the radius of the hemisphere = 8.922 in.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-surface-area-of-a-hemisphere\">Practice problems on Surface Area of a Hemisphere<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Surface Area of a Hemisphere - Definition, Formula, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Curved surface area of the hemisphere with radius \u201cr\u201d is equal to __________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$4\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\pi r^{2}$<\/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: $2\\pi r^{2}$<br\/>The curved surface area of a hemisphere $= \\frac{Surface\\; area\\; of\\; a \\;sphere}{2} = \\frac{4\\pi r^{2}}{2} = 2\\pi r^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Total surface area of a hemisphere of radius \u201cr\u201d is equal to __________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$4\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\pi \\pi r^{2}$<\/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: $3\\pi r^{2}$<br\/>Total surface area of a hemisphere = Curved surface area + Base area<br>\r\n$= 2\\pi r^{2} + \\pi r^{2}$<br>\r\n$= 3\\pi r^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Total surface area of hollow hemisphere =<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$3\\pi R^{2} \\;-\\; \\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$3\\pi R^{2} +  2\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$2\\pi R^{2} +  \\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$3\\pi R^{2} + \\pi r^{2}$<\/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: $3\\pi R^{2} + \\pi r^{2}$<br\/>If 'r' is the radius of the internal hemisphere, and 'R' is the radius of the external hemisphere,<br>\r\nTSA of hollow hemisphere can be calculated using the formula, TSA $=  3\\pi R^{2} + \\pi r^{2}$<\/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 quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Surface Area of a Hemisphere - Definition, Formula, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Surface Area of a Hemisphere\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Curved surface area of the hemisphere with radius \u201cr\u201d is equal to __________.\",\n                    \"text\": \"Curved surface area of the hemisphere with radius \u201cr\u201d is equal to __________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The curved surface area of a hemisphere $$= \\\\frac{Surface\\\\; area\\\\; of\\\\; a \\\\;sphere}{2} = \\\\frac{4\\\\pi r^{2}}{2} = 2\\\\pi r^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$4\\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The curved surface area of a hemisphere $$= \\\\frac{Surface\\\\; area\\\\; of\\\\; a \\\\;sphere}{2} = \\\\frac{4\\\\pi r^{2}}{2} = 2\\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The curved surface area of a hemisphere $$= \\\\frac{Surface\\\\; area\\\\; of\\\\; a \\\\;sphere}{2} = \\\\frac{4\\\\pi r^{2}}{2} = 2\\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The curved surface area of a hemisphere $$= \\\\frac{Surface\\\\; area\\\\; of\\\\; a \\\\;sphere}{2} = \\\\frac{4\\\\pi r^{2}}{2} = 2\\\\pi r^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2\\\\pi r^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The curved surface area of a hemisphere $$= \\\\frac{Surface\\\\; area\\\\; of\\\\; a \\\\;sphere}{2} = \\\\frac{4\\\\pi r^{2}}{2} = 2\\\\pi r^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The curved surface area of a hemisphere $$= \\\\frac{Surface\\\\; area\\\\; of\\\\; a \\\\;sphere}{2} = \\\\frac{4\\\\pi r^{2}}{2} = 2\\\\pi r^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Total surface area of a hemisphere of radius \u201cr\u201d is equal to __________.\",\n                    \"text\": \"Total surface area of a hemisphere of radius \u201cr\u201d is equal to __________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Total surface area of a hemisphere = Curved surface area + Base area<br>\r\n$$= 2\\\\pi r^{2} + \\\\pi r^{2}$$<br>\r\n$$= 3\\\\pi r^{2}$$\"\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\": \"Total surface area of a hemisphere = Curved surface area + Base area<br>\r\n$$= 2\\\\pi r^{2} + \\\\pi r^{2}$$<br>\r\n$$= 3\\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$4\\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total surface area of a hemisphere = Curved surface area + Base area<br>\r\n$$= 2\\\\pi r^{2} + \\\\pi r^{2}$$<br>\r\n$$= 3\\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\pi \\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Total surface area of a hemisphere = Curved surface area + Base area<br>\r\n$$= 2\\\\pi r^{2} + \\\\pi r^{2}$$<br>\r\n$$= 3\\\\pi r^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$3\\\\pi r^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Total surface area of a hemisphere = Curved surface area + Base area<br>\r\n$$= 2\\\\pi r^{2} + \\\\pi r^{2}$$<br>\r\n$$= 3\\\\pi r^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Total surface area of a hemisphere = Curved surface area + Base area<br>\r\n$$= 2\\\\pi r^{2} + \\\\pi r^{2}$$<br>\r\n$$= 3\\\\pi r^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Total surface area of hollow hemisphere =\",\n                    \"text\": \"Total surface area of hollow hemisphere =\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If 'r' is the radius of the internal hemisphere, and 'R' is the radius of the external hemisphere,<br>\r\nTSA of hollow hemisphere can be calculated using the formula, TSA $$=  3\\\\pi R^{2} + \\\\pi r^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\\\\pi R^{2} \\\\;-\\\\; \\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If 'r' is the radius of the internal hemisphere, and 'R' is the radius of the external hemisphere,<br>\r\nTSA of hollow hemisphere can be calculated using the formula, TSA $$=  3\\\\pi R^{2} + \\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\\\\pi R^{2} +  2\\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If 'r' is the radius of the internal hemisphere, and 'R' is the radius of the external hemisphere,<br>\r\nTSA of hollow hemisphere can be calculated using the formula, TSA $$=  3\\\\pi R^{2} + \\\\pi r^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\\\\pi R^{2} +  \\\\pi r^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If 'r' is the radius of the internal hemisphere, and 'R' is the radius of the external hemisphere,<br>\r\nTSA of hollow hemisphere can be calculated using the formula, TSA $$=  3\\\\pi R^{2} + \\\\pi r^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$3\\\\pi R^{2} + \\\\pi r^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If 'r' is the radius of the internal hemisphere, and 'R' is the radius of the external hemisphere,<br>\r\nTSA of hollow hemisphere can be calculated using the formula, TSA $$=  3\\\\pi R^{2} + \\\\pi r^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If 'r' is the radius of the internal hemisphere, and 'R' is the radius of the external hemisphere,<br>\r\nTSA of hollow hemisphere can be calculated using the formula, TSA $$=  3\\\\pi R^{2} + \\\\pi r^{2}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-about-surface-area-of-a-hemisphere\">Frequently asked questions about Surface Area of a Hemisphere<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\" 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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\"><strong>Is the hemisphere a polyhedron?<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\">\n\n<p>No, a polyhedron is a three-dimensional solid made up of polygons. A hemisphere is not a polyhedron as a hemisphere has one circular base and one curved surface.<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\"><strong>What are the geometric properties of a hemisphere?<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\">\n\n<ul class=\"wp-block-list\">\n<li>A hemisphere has only one curved surface area.<\/li>\n\n\n\n<li>It has one circular base.<\/li>\n\n\n\n<li>A hemisphere has no vertices.<\/li>\n\n\n\n<li>A hemisphere has one curved edge.<\/li>\n\n\n\n<li>Hemisphere is not a polyhedron since polyhedrons are formed by polygons.<\/li>\n<\/ul>\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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\"><strong>How do you find the curved surface area of a hemisphere with the diameter given?<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\">\n\n<p>We know that curved surface area of the hemisphere can be calculated using the formula:<\/p>\n\n\n\n<p>Curved Surface area of the hemisphere $= 2\\pi r^{2}$, where \u2018r\u2019 is the radius of the hemisphere.<br>We also know that radius is half the diameter.<br>$r = \\frac{d}{2}$<br>Thus, we can use this value to solve the problem.<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\"><strong>What is the lateral surface area of a hemisphere?<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\">\n\n<p>The lateral surface area is nothing but the curved surface area of the hemisphere. The curved surface area of the hemisphere is calculated using the formula<br>Curved surface area of the hemisphere $= 2\\pi r^{2}$<br>where&nbsp; &#8216;r&#8217;&nbsp; is the radius of the hemisphere.<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\"><strong>What is the formula for the surface area of a hemisphere?<\/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-f0b9bbb9-1f09-4316-b322-4cfbd69d01c0\">\n\n<p>Total surface area of a hemisphere $= 3\\pi r^{2}$, where&nbsp; &#8216;r&#8217;&nbsp; is the radius of the hemisphere.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Surface Area of a Hemisphere? The surface area of a hemisphere is defined as the area covered by the outer surface of a hemisphere. The surface area of a hemisphere is measured in square units. The surface of a hemisphere consists of a flat circular base and curved surface.&nbsp; A hemisphere is &#8230; <a title=\"Surface Area of a Hemisphere &#8211; Definition, Formula, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/surface-area-of-a-hemisphere\" aria-label=\"More on Surface Area of a Hemisphere &#8211; Definition, Formula, Examples\">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-35172","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\/35172","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=35172"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35172\/revisions"}],"predecessor-version":[{"id":35246,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35172\/revisions\/35246"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=35172"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=35172"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=35172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}