{"id":837009,"date":"2024-07-20T13:02:40","date_gmt":"2024-07-20T07:32:40","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=837009"},"modified":"2024-07-20T13:02:40","modified_gmt":"2024-07-20T07:32:40","slug":"exam-prep-volume-of-hemisphere","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-volume-of-hemisphere\/","title":{"rendered":"Volume of Hemisphere: Formula and Solved Examples"},"content":{"rendered":"\n<p>In geometry, we learn about different dimensional shapes: One-dimensional, two-dimensional and three-dimensional shapes. Three-dimensional shapes have three measurements: length, breadth, and height. The volume of an object refers to the space occupied by three-dimensional objects. In this section, we will cover the volume of a hemisphere with some solved examples.<\/p>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\">What is a Hemisphere?<\/h2>\n\n\n\n<p>A sphere is a three-dimensional shape with each point on its surface equidistant from the centre. The term \u2018Hemi\u2019 means half as it is denoted by the half of the sphere. A hemisphere is formed when a plane divides a sphere into two equal parts from its centre. So a hemisphere is half of a sphere. Basically, a hemisphere is a three-dimensional object that is flat from one side and has a bowl-like shape on the other side.&nbsp; For example, the earth is a single big sphere divided into two hemispheres: northern and southern.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What are the properties of the Hemisphere?<\/h2>\n\n\n\n<p>The hemispheres have the following properties:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A hemisphere has no edges and vertices.<\/li>\n\n\n\n<li>A hemisphere has one curved surface and one flat surface.<\/li>\n\n\n\n<li>A line segment that connects two opposite points on the circumference of the circle and passes through its centre is called the diameter of the hemisphere.<\/li>\n\n\n\n<li>A line segment from the centre to any of the points on the circumference of the circle is the radius of the hemisphere.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-the-volume-of-the-hemisphere\">What is the Volume of the Hemisphere?<\/h2>\n\n\n\n<p>The volume of a hemisphere refers to the space occupied by a hemispherical object. Any object with a large volume takes up a large space. The volume of a hemisphere can also be described as half the volume of a sphere. The formula is calculated by Archimedes.<\/p>\n\n\n\n<p class=\"has-text-align-center has-electric-grass-gradient-background has-background\"><strong>Also Read: <\/strong><strong>Difference Between Volume and Area<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-formula-of-volume-of-hemisphere\">Formula of Volume of Hemisphere<\/h2>\n\n\n\n<p>The formula for the volume of a hemisphere is 2\u03c0r<sup>3<\/sup>\/3 cubic units.<\/p>\n\n\n\n<p>Where, \u03c0 = 3.14<\/p>\n\n\n\n<p>r= radius of the hemisphere<\/p>\n\n\n\n<p>Now, let\u2019s look at how the formula is derived.<\/p>\n\n\n\n<p>The volume of a sphere= 4\u03c0r<sup>3<\/sup>\/3<\/p>\n\n\n\n<p>As the hemisphere is the half of the sphere, the volume will be;<\/p>\n\n\n\n<p>= 1\/2 x &nbsp;4\u03c0r<sup>3<\/sup>\/3<\/p>\n\n\n\n<p>=2\u03c0r<sup>3<\/sup>\/3<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How to Find the Volume of a Hemisphere<\/h2>\n\n\n\n<p>The volume of the hemisphere can be calculated by using the formula, which is 2\u03c0r<sup>3<\/sup>\/3. So, let\u2019s follow the steps to find the volume of the hemisphere if the radius is 3 cm.<\/p>\n\n\n\n<p>Step 1: The radius of a hemisphere is 3 cm, which can be denoted as \u2018r\u2019.<\/p>\n\n\n\n<p>Step 2: Substitute the value of the radius in the formula2\u03c0r<sup>3<\/sup>\/3 and write the value of \u03c0 as 3.14.<\/p>\n\n\n\n<p>Step 3: Now calculate the value by 2 x 3.14 x 3x3x3\/3 = 56.52 cubic units.<\/p>\n\n\n\n<p class=\"has-text-align-center has-electric-grass-gradient-background has-background\"><strong>Also Read: <\/strong><strong>Difference Between Power and Exponent<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-solved-examples\">Solved Examples<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Find the volume of a hemisphere with a radius of 3 cm.<\/strong><\/li>\n<\/ol>\n\n\n\n<p>The volume of the hemisphere=<strong> <\/strong>2\u03c0r<sup>3<\/sup>\/3<\/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;&nbsp;= 2x 3.14 x (3)<sup>3<\/sup>\/3<\/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;&nbsp;= 6.28 x 27\/3<\/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;&nbsp;= 6.28 x 9<\/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;&nbsp;= 56.52 cubic units<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Find the volume of the hemisphere with a diameter of 12 cm.<\/strong><\/li>\n<\/ol>\n\n\n\n<p>Diameter of hemisphere= 12 cm<\/p>\n\n\n\n<p>Radius of hemisphere= 12\/2 cm<\/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;= 6 cm<\/p>\n\n\n\n<p>The volume of the hemisphere=<strong> <\/strong>2\u03c0r<sup>3<\/sup>\/3<\/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;&nbsp;= 2x 3.14 x (6)<sup>3<\/sup>\/3<\/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;&nbsp;= 6.28 x 216\/3<\/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;&nbsp;= 6.28 x 72<\/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;&nbsp;= 452.16 cubic units<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-bdb8e5d19b7d1c9ba12986c4f4db0e08\"><strong>Related Posts<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\" style=\"font-size:19px\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-what-are-co-prime-numbers\/\"><strong>What are Co Prime Numbers?<\/strong><\/a><br><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-difference-between-average-and-mean\/\"><strong>Difference Between Average and Mean<\/strong><\/a><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>What is the Difference Between Density and Weight?<\/strong><br><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-algebraic-identities\/\"><strong>Algebraic Identities: Examples and Chart<\/strong><\/a><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/logical-problems-reasoning\/\"><strong>20+ Questions of Logical Problems Reasoning<\/strong><\/a><br><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-hcf-and-lcm\/\"><strong>All You Need to Know About HCF and LCM&nbsp;<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1721210267488\"><strong class=\"schema-faq-question\"><strong>What is a hemisphere?<\/strong><\/strong> <p class=\"schema-faq-answer\">A hemisphere is formed when a plane divides a sphere into two equal parts from its centre. So a hemisphere is half of a sphere. For example, the earth is a sphere divided into two hemispheres: northern and southern.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721210282399\"><strong class=\"schema-faq-question\"><strong>What is the volume of a hemisphere?<\/strong><\/strong> <p class=\"schema-faq-answer\">The volume of a hemisphere refers to the space occupied by a hemispherical object. Any object with a large volume takes up a large space. The volume of a hemisphere can also be described as half the volume of a sphere. This formula is calculated by Archimedes.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721210303412\"><strong class=\"schema-faq-question\"><strong>What is the formula for <\/strong>the volume of the <strong>hemisphere<\/strong>?<\/strong> <p class=\"schema-faq-answer\">The volume of the hemisphere= 2\u03c0r<sup>3<\/sup>\/3 cubic units.<br\/>Where, \u03c0 = 3.14<br\/>r= radius of the hemisphere.<\/p> <\/div> <\/div>\n\n\n\n<p>This was all about the \u201c<strong><em>Volume of Hemisphere\u201d<\/em><\/strong>.&nbsp; For more such informative blogs, check out our <a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/maths\/\"><strong>Maths Section<\/strong><\/a>, or you can learn more about us by visiting our <a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/\"><strong>Study Material Section<\/strong><\/a> page.<\/p>\n","protected":false},"excerpt":{"rendered":"In geometry, we learn about different dimensional shapes: One-dimensional, two-dimensional and three-dimensional shapes. Three-dimensional shapes have three measurements:&hellip;\n","protected":false},"author":122,"featured_media":837014,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[369,476,396],"tags":[],"class_list":{"0":"post-837009","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-indian-exams","8":"category-maths","9":"category-study-material"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Volume of Hemisphere: Formula and Solved Examples - Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"This blog will cover the volume of a hemisphere with some solved examples. 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Here, you will find my blogs for the students and education purpose.","url":"https:\/\/leverageedu.com\/discover\/author\/bhumika\/"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-volume-of-hemisphere\/#faq-question-1721210267488","position":1,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-volume-of-hemisphere\/#faq-question-1721210267488","name":"What is a hemisphere?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"A hemisphere is formed when a plane divides a sphere into two equal parts from its centre. So a hemisphere is half of a sphere. For example, the earth is a sphere divided into two hemispheres: northern and southern.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-volume-of-hemisphere\/#faq-question-1721210282399","position":2,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-volume-of-hemisphere\/#faq-question-1721210282399","name":"What is the volume of a hemisphere?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The volume of a hemisphere refers to the space occupied by a hemispherical object. Any object with a large volume takes up a large space. The volume of a hemisphere can also be described as half the volume of a sphere. This formula is calculated by Archimedes.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-volume-of-hemisphere\/#faq-question-1721210303412","position":3,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-volume-of-hemisphere\/#faq-question-1721210303412","name":"What is the formula for the volume of the hemisphere?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The volume of the hemisphere= 2\u03c0r3\/3 cubic units.<br\/>Where, \u03c0 = 3.14<br\/>r= radius of the hemisphere.","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/837009","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/users\/122"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/comments?post=837009"}],"version-history":[{"count":0,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/837009\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media\/837014"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media?parent=837009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/categories?post=837009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/tags?post=837009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}