{"id":8851,"date":"2021-12-05T20:24:20","date_gmt":"2021-12-05T14:54:20","guid":{"rendered":"https:\/\/mathemerize.com\/?p=8851"},"modified":"2021-12-05T21:32:43","modified_gmt":"2021-12-05T16:02:43","slug":"formula-for-surface-area-of-sphere","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/","title":{"rendered":"Formula for Surface Area of Sphere with Examples"},"content":{"rendered":"

Here you will learn what is the formula for surface area of sphere and examples based on it.<\/p>\n

Let’s begin –<\/p>\n

What is Sphere ?<\/h2>\n

A sphere is a three dimensional figure <\/span>(<\/span>solid figure<\/span>), <\/span>which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the centre of the sphere.<\/span><\/p>\n

A sphere is like the surface of a ball. The word <\/span>solid sphere <\/span>is used for the solid whose surface is a sphere.<\/span><\/p>\n

Formula for Surface Area of Sphere<\/h2>\n
\n

Surface Area of Sphere = \\(4\\pi r^2\\)<\/p>\n<\/blockquote>\n

where r is the radius of sphere.<\/p>\n

Example<\/span><\/strong> : Find the surface area of a sphere of radius 7 cm.<\/span> <\/p>\n

Solution<\/span><\/strong> : The surface area of the sphere of radius 7 cm would be<\/p>\n

Surface Area = \\(4\\pi r^2\\) = \\(4\\times {22\\over 7} \\times 7 \\times 7\\) = 616 \\(cm^2\\)<\/p>\n

Example<\/span><\/strong> : A cylinder, whose height is two-thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.<\/p>\n

Solution<\/span><\/strong> : Let radius of cylinder = r.<\/p>\n

Diameter of cylinder = 2r<\/p>\n

Height of cylinder = \\(2\\over 3\\) (2r) = \\(4r\\over 3\\)<\/p>\n

Volume of cylinder = \\(\\pi r^2 h\\) = \\(\\pi r^2 {(4r\\over 3)}\\) = \\(4\\pi r^3\\over 3\\)<\/p>\n

Volume of the sphere with radius 4 cm = \\(4\\over 3\\) \\(\\pi (4)^3\\) = \\(4\\over 3\\) \\(\\pi (64)\\)<\/p>\n

According to the question,<\/p>\n

Volume of the cylinder = Volume of sphere<\/p>\n

\\(\\implies\\)  \\(4\\over 3\\) \\(\\pi r^3\\) = \\(4\\over 3\\) \\(\\pi (4)^3\\)<\/p>\n

\\(\\implies\\)  \\(r^3\\) = \\((4)^3\\)  \\(\\implies\\)  r = 4 cm<\/p>\n

Hence, radius of base of cylinder = 4 cm<\/p>\n\n\n

\n
Next – Surface Area of Hemisphere – Formula & Examples<\/a><\/div>\n<\/div>\n\n\n\n
\n
Previous – Formula for Volume of Cone with Examples<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is the formula for surface area of sphere and examples based on it. Let’s begin – What is Sphere ? A sphere is a three dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a …<\/p>\n

Formula for Surface Area of Sphere with Examples<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[63],"tags":[697,696],"yoast_head":"\nFormula for Surface Area of Sphere with Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the formula for surface area of sphere and examples based on it.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Formula for Surface Area of Sphere with Examples\" \/>\n<meta property=\"og:description\" content=\"In this post you will learn what is the formula for surface area of sphere and examples based on it.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-12-05T14:54:20+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-12-05T16:02:43+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Formula for Surface Area of Sphere with Examples\",\"datePublished\":\"2021-12-05T14:54:20+00:00\",\"dateModified\":\"2021-12-05T16:02:43+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/\"},\"wordCount\":267,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"keywords\":[\"formula of surface area of sphere\",\"surface area of sphere\"],\"articleSection\":[\"Surface Area & Volumes\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/\",\"url\":\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/\",\"name\":\"Formula for Surface Area of Sphere with Examples\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2021-12-05T14:54:20+00:00\",\"dateModified\":\"2021-12-05T16:02:43+00:00\",\"description\":\"In this post you will learn what is the formula for surface area of sphere and examples based on it.\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/formula-for-surface-area-of-sphere\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Formula for Surface Area of Sphere with Examples\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathemerize.com\/#website\",\"url\":\"https:\/\/mathemerize.com\/\",\"name\":\"Mathemerize\",\"description\":\"Maths Tutorials - 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