{"id":32487,"date":"2023-08-02T16:46:26","date_gmt":"2023-08-02T16:46:26","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32487"},"modified":"2023-08-03T02:26:18","modified_gmt":"2023-08-03T02:26:18","slug":"volume-of-a-hollow-cylinder-definition-formula-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-hollow-cylinder","title":{"rendered":"Volume of a Hollow Cylinder: 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-44f6fa6f-5982-4756-8e34-ad25b5d3d835\" 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\/volume-of-hollow-cylinder#0-what-is-the-volume-of-a-hollow-cylinder>What Is the Volume of a Hollow Cylinder?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-hollow-cylinder#1-volume-of-a-hollow-cylinder-formula>Volume of a Hollow Cylinder Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-hollow-cylinder#3-how-to-calculate-the-volume-of-hollow-cylinder>How to Calculate the Volume of Hollow Cylinder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-hollow-cylinder#6-solved-examples-on-the-volume-of-a-hollow-cylinder>Solved Examples on the Volume of a Hollow Cylinder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-hollow-cylinder#7-practice-problems-on-the-volume-of-a-hollow-cylinder>Practice Problems on the Volume of a Hollow Cylinder<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-hollow-cylinder#8-frequently-asked-questions-on-the-volume-of-a-hollow-cylinder>Frequently Asked Questions on the Volume of a Hollow Cylinder<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-volume-of-a-hollow-cylinder\">What Is the Volume of a Hollow Cylinder?<\/h2>\n\n\n\n<p><strong>The <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/volume\"><strong>volume<\/strong><\/a><strong> of the hollow cylinder can be defined as the space occupied by the hollow cylinder in a 3D plane.<\/strong> It is calculated by finding the difference between the volume of the outer cylinder and the inner cylinder.<\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cylinder\">cylinder<\/a> is made up of a rolled surface with a circular top and a circular base.&nbsp;<\/p>\n\n\n\n<p>A hollow cylinder is also known as the cylindrical shell. It is empty from the inside and has some difference in its outer and inner radius. The space between the outer and inner cylinders defines the volume of the hollow cylinder.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"537\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hollow-cylinder-dimensions.png\" alt=\"Hollow cylinder - dimensions\" class=\"wp-image-32552\" title=\"Hollow cylinder - dimensions\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hollow-cylinder-dimensions.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hollow-cylinder-dimensions-300x260.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>A hollow cylinder has some thickness at the peripheral. A cylinder is considered to be hollow from the inside if there is some difference between the internal radius and external radius<\/p>\n\n\n\n<p>To put it another way, it is a cylinder that is hollow within and has some thickness at the edges.<\/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\/estimate-the-volume-of-a-given-shape\" 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_estimate_vol_1_pt.png\" alt=\"Estimate the Volume of a Given Shape 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\">Estimate the Volume of a Given Shape 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-volume-of-the-3d-shape-by-iterating\" 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_iterate_vol_1_pt.png\" alt=\"Find the Volume of the 3D Shape by Iterating 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 Volume of the 3D Shape by Iterating 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-volume-using-unit-cubes\" 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_vol_unit_cubes_2_pt.png\" alt=\"Find the Volume using Unit Cubes 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 Volume using Unit Cubes 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-volume-using-the-formula\" 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_vol_formula_pt.png\" alt=\"Find Volume using the Formula 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 Volume using the Formula 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\/identify-cylinders-and-spheres\" 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\/geometry_cylinders_spheres_pt.png\" alt=\"Identify Cylinders and Spheres 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\">Identify Cylinders and Spheres 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\/introduction-to-volume\" 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_vol_unit_cubes_1_pt.png\" alt=\"Introduction to Volume 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\">Introduction to Volume 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\/iterate-and-find-the-total-volume\" 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_iterate_vol_2_pt.png\" alt=\"Iterate and Find the Total Volume 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\">Iterate and Find the Total Volume 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\/solve-the-word-problems-related-to-volume\" 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_vol_word_prob_pt.png\" alt=\"Solve the Word Problems Related to Volume 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\">Solve the Word Problems Related to Volume 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\/use-the-3d-shapes-to-estimate-the-volume\" 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_estimate_vol_2_pt.png\" alt=\"Use the 3D Shapes to Estimate the Volume 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\">Use the 3D Shapes to Estimate the Volume 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-volume-of-a-hollow-cylinder-formula\">Volume of a Hollow Cylinder Formula<\/h2>\n\n\n\n<p>The formula for the volume of a cylinder can be used to determine the volume of a hollow cylinder. The volume of a hollow cylinder is equal to the difference in volume between the external and internal cylinders.&nbsp;<\/p>\n\n\n\n<p>Note that the volume of a solid cylinder with radius r and height h is given by $= \\pi r^{2}\\;h$<strong>.<\/strong><\/p>\n\n\n\n<p>Volume of a hollow cylinder $=$ External cylinder volume $-$ Internal cylinder volume<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Volume of hollow cylinder using radius:<\/strong><\/li>\n<\/ul>\n\n\n\n<p>When the hollow cylinder&#8217;s outer and inner radii are known, its volume may be calculated as follows:<\/p>\n\n\n\n<p>Volume of a hollow cylinder $= V =\\pi (R^{2} \\;\u2013\\; r^{2})$ h cubic units.<\/p>\n\n\n\n<p>where<\/p>\n\n\n\n<p>$R =$ outer radius<\/p>\n\n\n\n<p>$r =$ inner radius<\/p>\n\n\n\n<p>$h =$ height of the hollow cylinder<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Volume of hollow cylinder using diameter:<\/strong><\/li>\n<\/ul>\n\n\n\n<p>We know that diameter is twice the radius, $D = 2r$. So, if the diameter is given instead of the radius, we simply divide the value of diameter by 2 to get the value of radius, substitute the value into the above formula and solve the equation.<\/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\/cylinders-and-cubes\" 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\/cylinders-and-cubes.jpeg\" alt=\"Cylinders and Cubes 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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-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=\"2-volume-of-a-hollow-cylinder-derivation\">Volume of a Hollow Cylinder Derivation<\/h2>\n\n\n\n<p>To derive the volume of a hollow cylinder formula, we have to use the volume of the cylinder formula.<\/p>\n\n\n\n<p>The formula to calculate the volume of a solid cylinder is given as,<\/p>\n\n\n\n<p>Volume of a cylinder $=$ Base area$\\times$ Height $= (\\pi R^{2}) h$ cubic units<\/p>\n\n\n\n<p>where,<\/p>\n\n\n\n<p>$R =$ radius of a cylinder<\/p>\n\n\n\n<p>$h =$ height of cylinder<\/p>\n\n\n\n<p>The volume of a hollow cylinder having outer radius, \u201cR\u201d and inner radius, \u201cr\u201d can be written as the volume of a solid cylinder of radius, \u201cR\u201d and height, \u201ch\u201d minus the volume of a solid cylinder of radius, \u201cr\u201d and height, \u201ch\u201d,<\/p>\n\n\n\n<p>Volume of a hollow cylinder $=$ Volume of External Cylinder $-$ Volume of Internal Cylinder<\/p>\n\n\n\n<p>Volume of hollow cylinder $= \\pi R^{2}\\;h \\;-\\; \\pi r^{2}\\;h = \\pi (R^{2}\\;-\\; r^{2})\\;h$ cubic units<\/p>\n\n\n\n<p>where,<\/p>\n\n\n\n<p>$R =$ outer radius,<\/p>\n\n\n\n<p>$r =$ inner radius, and,<\/p>\n\n\n\n<p>$h =$ height of the hollow cylinder<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"605\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/solid-cylinder-and-hollow-cylinder.png\" alt=\"Solid cylinder and hollow cylinder\" class=\"wp-image-32553\" title=\"Solid cylinder and hollow cylinder\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/solid-cylinder-and-hollow-cylinder.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/solid-cylinder-and-hollow-cylinder-300x293.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-calculate-the-volume-of-hollow-cylinder\">How to Calculate the Volume of Hollow Cylinder<\/h2>\n\n\n\n<p>To calculate the volume of a hollow cylinder we have to follow the steps given below:<\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Note down the given dimensions of the hollow cylinder. Make sure that they have the same units.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Apply the formula and substitute the values to calculate the volume of a hollow cylinder.<\/p>\n\n\n\n<p>Volume of hollow cylinder $= \\pi (R^{2}\\;-\\;r^{2}) h$<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Solve the equation and represent the answer in cubic units.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-the-volume-of-a-hollow-cylinder\">Facts about the Volume of a Hollow 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 volume of a hollow cylinder, also known as a cylindrical shell, is the difference between the volumes of two concentric cylinders.<\/li>\n\n\n\n<li>The volume of a hollow cylinder is affected by both the height and the difference in radii of the two cylinders.<\/li>\n\n\n\n<li>In a hollow cylinder, there are two circular bases in the shape of rings. The shape formed at the base is called an annulus ring.<\/li>\n\n\n\n<li>The bases of the cylinder are always congruent and parallel to each other.<\/li>\n\n\n\n<li>The height of the hollow cylinder is the perpendicular distance between its two circular bases.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we have learned about the hollow cylinder, its volume, formulas, and facts. Let us solve some volume of hollow cylinder examples and practice MCQs for better understanding!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-the-volume-of-a-hollow-cylinder\">Solved Examples on the Volume of a Hollow Cylinder<\/h2>\n\n\n\n<p><strong>1. Find the volume of the given hollow cylinder.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"167\" height=\"292\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hollow-cylinder-with-R-6-r-4-h-14.png\" alt=\"Hollow cylinder with R = 6, r = 4, h = 14\" class=\"wp-image-32554\" title=\"Hollow cylinder with R = 6, r = 4, h = 14\"\/><\/figure>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Here, $R = 6$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$r = 4$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$h = 14$<\/p>\n\n\n\n<p>Volume of a hollow cylinder, $V =\u00a0\\pi (R^{2} \\;\u2013\\; r^{2})\\; h$ cubic units.<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{22}{7} \\left[(6)^{2} \\;-\\; (4)^{2} \\right]\\times 14$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\frac{22}{7} ( 36 \\;-\\; 16 ) 14$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$=\u00a0\\frac{22}{7} (20) (14)$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= 22 \\times 20 \\times 2$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= 880$ cubic units.<\/p>\n\n\n\n<p>The volume of the given hollow cylinder is 880 cubic units.<\/p>\n\n\n\n<p><strong>2. The figure shows a hollow cylinder with internal radius <\/strong>$= 2$<strong> units, external radius <\/strong>$= 3$<strong> units and the height <\/strong>$= 10$<strong> units. Find the volume of the hollow cylinder.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"259\" height=\"235\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hollow-cylinder-with-radii-3-and-2-units.png\" alt=\"Hollow cylinder with radii 3 and 2 units\" class=\"wp-image-32556\" title=\"Hollow cylinder with radii 3 and 2 units\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Volume of hollow cylinder $= \\pi (R^{2}\\;-\\;r^{2})\\;h$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= \\pi \\times (9\\;-\\;4) 10$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= 5 \\times 3.14 \\times 10$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= 157$<\/p>\n\n\n\n<p>Volume of metal used $= 157\\; unit^{3}$.<\/p>\n\n\n\n<p><strong>3. Determine the inner radius of a hollow cylinder whose outer radius is 6 units, height is 10 units and volume is <\/strong>$847.8\\; unit^{3}$<strong>. (Use <\/strong>$\\pi = 3.14$<strong>)<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Outer radius, $R = 6$ units<\/p>\n\n\n\n<p>Height $= 10$ units<\/p>\n\n\n\n<p>Volume $= 847.8\\; unit^{3}$<\/p>\n\n\n\n<p>Substituting the values in the volume of the hollow cylinder formula,<\/p>\n\n\n\n<p>$V =\u00a0\\pi (R^{2} \\;\u2013\\; r^{2})\\; h$<\/p>\n\n\n\n<p>$847.8 = (3.14) \\times (6^{2} \\;-\\; r^{2}) \\times 10$<\/p>\n\n\n\n<p>$\\frac{847.8}{31.4} = 6^{2} \\;-\\; r^{2}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0$27\u00a0 = 36 \\;-\\; r^{2}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0 $r^{2} = 36 \\;-\\; 27$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0 $r^{2} =\u00a0 9$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0$r\u00a0 =\u00a0\\sqrt{9}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0$r\u00a0 = 3$ units<\/p>\n\n\n\n<p>Therefore, the inner radius of a hollow cylinder is 3 units.<\/p>\n\n\n\n<p><strong>4. Calculate the height of a hollow cylinder whose outer radius is 9 units, the inner radius is 5 units, and the volume is <\/strong>$1408\\; unit^{3}$<strong>. [Use <\/strong>$\\pi = \\frac{22}{7}$<strong>]<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>We know that,&nbsp;<\/p>\n\n\n\n<p>The volume of hollow cylinder, $V =\u00a0\\pi (R^{2} \\;\u2013\\; r^{2})\\; h$<\/p>\n\n\n\n<p>$1408\u00a0 = \\frac{22}{7} (9^{2} \\;-\\; 5^{2})\\times h$<\/p>\n\n\n\n<p>$1408 = \\frac{22}{7} (81 \\;-\\; 25 )\\times h$<\/p>\n\n\n\n<p>$1408 = \\frac{22}{7} \\times 56 \\times h$<\/p>\n\n\n\n<p>$1408 = 22 \\times 8 \\times h$\u00a0<\/p>\n\n\n\n<p>$1408 = 176 \\times h$<\/p>\n\n\n\n<p>$h\u00a0 = \\frac{1408}{176}$<\/p>\n\n\n\n<p>$h\u00a0 =\u00a0 8$<\/p>\n\n\n\n<p>&nbsp;The height of a hollow cylinder is 8 units.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-the-volume-of-a-hollow-cylinder\">Practice Problems on the Volume of a Hollow Cylinder<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Volume of a Hollow Cylinder: Definition, Formula, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowlwdge.<\/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\">The volume of a solid cylinder is given by<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\pi r^{2}\\;h$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\pi r^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\pi rh$<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/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: $\\pi r^{2}\\;h$<br\/>The volume of a solid cylinder is given by $\\pi r^{2}h$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Volume of a hollow cylinder, $V =$  ________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\pi (r^{2}\\;\u2013\\;R^{2})\\;h$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\pi (R^{2}\\;\u2013\\;r^{2})\\;h$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\pi (R^{2}\\;\u2013\\;r^{2})$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(R^{2}\\;\u2013\\;r^{2})\\;h$<\/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: $\\pi (R^{2}\\;\u2013\\;r^{2})\\;h$<br\/>Volume of a hollow cylinder $=$ Volume of External Cylinder $-$ Volume of Internal Cylinder<br>\r\nVolume of hollow cylinder $= \\pi R^{2}h\\;-\\;\\pi r^{2}h =  \\pi(R^{2}\\;-\\;r^{2})\\;h$ cubic units.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">In the formula of volume of cylinder $V =  (R^{2}\\;-\\;r^{2})\\;h$, the term \u201cR\u201d stands for _______.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Outer radius<\/div><div class=\"spq_answer_block\" data-value=\"1\">Inner radius<\/div><div class=\"spq_answer_block\" data-value=\"2\">Inner diameter<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/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: Outer radius<br\/>Volume of hollow cylinder $= \\pi(R^{2}\\;-\\;r^{2})\\;h$ cubic units<br>\r\nwhere,<br>\r\n$R =$ outer radius,<br>\r\n$r =$ inner radius, and,<br>\r\n$h =$ height of the hollow cylinder<\/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 knowlwdge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Volume of a Hollow Cylinder: Definition, Formula, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Volume of a Hollow Cylinder\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n              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\"Comment\",\n                                    \"text\": \"Volume of a hollow cylinder $$=$$ Volume of External Cylinder $$-$$ Volume of Internal Cylinder<br>\r\nVolume of hollow cylinder $$= \\\\pi R^{2}h\\\\;-\\\\;\\\\pi r^{2}h =  \\\\pi(R^{2}\\\\;-\\\\;r^{2})\\\\;h$$ cubic units.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\pi (R^{2}\\\\;\u2013\\\\;r^{2})$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of a hollow cylinder $$=$$ Volume of External Cylinder $$-$$ Volume of Internal Cylinder<br>\r\nVolume of hollow cylinder $$= \\\\pi R^{2}h\\\\;-\\\\;\\\\pi r^{2}h =  \\\\pi(R^{2}\\\\;-\\\\;r^{2})\\\\;h$$ 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          \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Inner radius\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of hollow cylinder $$= \\\\pi(R^{2}\\\\;-\\\\;r^{2})\\\\;h$$ cubic units<br>\r\nwhere,<br>\r\n$$R =$$ outer radius,<br>\r\n$$r =$$ inner radius, and,<br>\r\n$$h =$$ height of the hollow cylinder\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Inner diameter\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of hollow cylinder $$= \\\\pi(R^{2}\\\\;-\\\\;r^{2})\\\\;h$$ cubic units<br>\r\nwhere,<br>\r\n$$R =$$ outer radius,<br>\r\n$$r =$$ inner radius, and,<br>\r\n$$h =$$ height of the hollow cylinder\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of hollow cylinder $$= \\\\pi(R^{2}\\\\;-\\\\;r^{2})\\\\;h$$ cubic units<br>\r\nwhere,<br>\r\n$$R =$$ outer radius,<br>\r\n$$r =$$ inner radius, and,<br>\r\n$$h =$$ height of the hollow cylinder\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Outer radius\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume of hollow cylinder $$= \\\\pi(R^{2}\\\\;-\\\\;r^{2})\\\\;h$$ cubic units<br>\r\nwhere,<br>\r\n$$R =$$ outer radius,<br>\r\n$$r =$$ inner radius, and,<br>\r\n$$h =$$ height of the hollow cylinder\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume of hollow cylinder $$= \\\\pi(R^{2}\\\\;-\\\\;r^{2})\\\\;h$$ cubic units<br>\r\nwhere,<br>\r\n$$R =$$ outer radius,<br>\r\n$$r =$$ inner radius, and,<br>\r\n$$h =$$ height of the hollow cylinder\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-on-the-volume-of-a-hollow-cylinder\">Frequently Asked Questions on the Volume of a Hollow Cylinder<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\" 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-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\"><strong>If the height of a hollow cylinder is doubled, how does the volume change?<\/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-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\">\n\n<p>We know that the volume of hollow cylinder $= (R^{2} \\;\u2013\\; r^{2}) h$.<\/p>\n\n\n\n<p>So, the height of a hollow cylinder has a direct relationship with the volume of the hollow cylinder. As a result, when the height of the hollow cylinder doubles, the volume also doubles.<\/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-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\"><strong>What is a hollow cylinder\u2019s annular ring?<\/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-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\">\n\n<p>An annular ring is a 2D object created at the bottom of a hollow cylinder. It is defined as a region surrounded by two concentric circles. The annular ring of the hollow cylinder is the base region of the 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-2-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\"><strong>What is the total surface area of a hollow 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-2-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\">\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/hollow-cylinder.png\" alt=\"Hollow cylinder \" class=\"wp-image-32560\" width=\"179\" height=\"286\" title=\"Hollow cylinder \"\/><\/figure>\n\n\n\n<p>Lateral surface area $= 2\\pi Rh + 2\\pi rh = 2\\pi h (R + r)$<\/p>\n\n\n\n<p>Area of 2 bases $= 2\\pi R^{2} \\;-\\; 2\\pi r^{2} = 2\\pi (R^{2}\\;-\\;r^{2})$<\/p>\n\n\n\n<p>Total surface area of hollow cylinder $=$ Lateral surface area $+$ area of solid basesTotal surface area of hollow cylinder $= 2\\pi h(R + r) + 2\\pi (R^{2}\\;-\\;r^{2})$<\/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-3-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\"><strong>What is the annular ring of a hollow 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-3-d6a2b3b5-66cf-4f36-a55c-bcd6b39a5934\">\n\n<p>The 2D shape formed at the bottom of a hollow cylinder or the region bounded by two concentric circles is called the annulus or annular ring. The base area of the hollow cylinder is the area of the annular ring of the cylinder.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Volume of a Hollow Cylinder? The volume of the hollow cylinder can be defined as the space occupied by the hollow cylinder in a 3D plane. It is calculated by finding the difference between the volume of the outer cylinder and the inner cylinder. A cylinder is made up of a rolled &#8230; <a title=\"Volume of a Hollow Cylinder: Definition, Formula, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/volume-of-hollow-cylinder\" aria-label=\"More on Volume of a Hollow Cylinder: 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-32487","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\/32487","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=32487"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32487\/revisions"}],"predecessor-version":[{"id":32568,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32487\/revisions\/32568"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32487"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32487"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}