{"id":8858,"date":"2021-12-05T21:17:05","date_gmt":"2021-12-05T15:47:05","guid":{"rendered":"https:\/\/mathemerize.com\/?p=8858"},"modified":"2022-01-16T17:11:45","modified_gmt":"2022-01-16T11:41:45","slug":"surface-area-of-hemisphere","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/surface-area-of-hemisphere\/","title":{"rendered":"Surface Area of Hemisphere – Formula and Examples"},"content":{"rendered":"

Here you will learn what is the formula for surface area of hemisphere (total and curved surface area of hemisphere) with examples.<\/p>\n

Let’s begin –<\/p>\n

What is Hemisphere ?<\/h2>\n

Let us take a solid sphere, and slice it exactly \u2018through the middle\u2019 with a plane that passes through its centre. I<\/span>t gets divided into two equal parts which is called a <\/span>hemisphere<\/span>. (Because \u2018hemi\u2019 means \u2018half\u2019)<\/span> <\/p>\n

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

(i) Curved Surface Area of Hemisphere<\/strong><\/h4>\n
\n

Curved Surface Area (CSA) = \\(2\\pi r^2\\)<\/p>\n<\/blockquote>\n

(ii) Total Surface Area of Hemisphere<\/strong><\/h4>\n
\n

Total Surface Area (TSA) = \\(3\\pi r^2\\)<\/p>\n<\/blockquote>\n

Example<\/strong><\/span> : Find (i) the curved surface area and (ii) the total surface area of a hemisphere of radius 21 cm.<\/span> <\/p>\n

Solution<\/span><\/strong> : Here, radius = 21 cm<\/p>\n

(i) The curved surface area of a hemisphere of radius 21 cm would be<\/span> <\/p>\n

CSA = \\(2\\pi r^2\\) = \\(2 \\times {22\\over 7} \\times 21 \\times 21\\) = 2772 \\(cm^2\\)<\/p>\n

(ii) The total surface area of the hemisphere of radius 21 cm would be<\/span> <\/p>\n

TSA = \\(3\\pi r^2\\) = \\(3 \\times {22\\over 7} \\times 21 \\times 21\\) = 4158 \\(cm^2\\)<\/p>\n

Example<\/strong><\/span> : Find (i) the curved surface area and (ii) the total surface area of a hemisphere of diameter 70 cm.<\/span> <\/p>\n

Solution<\/span><\/strong> : Here, diameter = 70 cm \\(\\implies\\) radius r = 35 cm<\/p>\n

(i) The curved surface area of a hemisphere of radius 35 cm would be<\/span> <\/p>\n

CSA = \\(2\\pi r^2\\) = \\(2 \\times {22\\over 7} \\times 35 \\times 35\\) = 7700 \\(cm^2\\)<\/p>\n

(ii) The total surface area of the hemisphere of radius 35 cm would be<\/span> <\/p>\n

TSA = \\(3\\pi r^2\\) = \\(3 \\times {22\\over 7} \\times 35 \\times 35\\) = 11550 \\(cm^2\\)<\/p>\n\n\n

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

Here you will learn what is the formula for surface area of hemisphere (total and curved surface area of hemisphere) with examples. Let’s begin – What is Hemisphere ? Let us take a solid sphere, and slice it exactly \u2018through the middle\u2019 with a plane that passes through its centre. It gets divided into two …<\/p>\n

Surface Area of Hemisphere – Formula and 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":[699,698,700],"yoast_head":"\nSurface Area of Hemisphere - Formula and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the formula for surface area of hemisphere (total and curved surface area of hemisphere) with examples.\" \/>\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\/surface-area-of-hemisphere\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface Area of Hemisphere - 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