{"id":1334,"date":"2019-01-11T01:40:09","date_gmt":"2019-01-11T00:40:09","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=1334"},"modified":"2024-02-17T17:31:56","modified_gmt":"2024-02-17T16:31:56","slug":"how-to-calculate-and-solve-for-the-radius-height-and-surface-area-of-a-spherical-segment-the-calculator-encyclopedia","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/01\/11\/how-to-calculate-and-solve-for-the-radius-height-and-surface-area-of-a-spherical-segment-the-calculator-encyclopedia\/","title":{"rendered":"How to Calculate and Solve for the Radius, Height and Surface Area of a Spherical Segment | The Calculator Encyclopedia"},"content":{"rendered":"

\"\"<\/p>\n

The image above is a spherical segment. To calculate the surface area of a spherical segment requires two essential parameters which are the radius of the sphere (R) and the height (h).<\/p>\n

The formula for calculating the surface area of the spherical segment:<\/p>\n

A = 2\u03c0Rh<\/p>\n

Where;
\nA = Surface area of the spherical segment
\nR = Radius of the sphere
\nh = Height of the spherical segment<\/p>\n

Let’s solve an example;
\nFind the surface area of a spherical segment when the radius of the sphere is 12 cm and the height is 16 cm.<\/p>\n

This implies that;
\nR = Radius of the sphere = 12 cm
\nh = Height of the spherical segment = 16 cm<\/p>\n

A = 2\u03c0Rh
\nA =\u00a02\u03c0 (12 x 16)
\nThen, A = 2\u03c0 (192)
\nA =\u00a06.28 (192)
\nA =\u00a01206.37<\/p>\n

Therefore, the surface area of the spherical segment<\/strong> is\u00a01206.37 cm2<\/sup>.<\/strong><\/p>\n

Calculating the Radius of the Sphere using the Surface Area of the Spherical Segment and the Height<\/strong><\/h3>\n

R = A<\/sup> \/ 2\u03c0h<\/sub><\/p>\n

Where;
\nR = Radius of the sphere
\nA = Surface area of the spherical segment
\nh = Height of the spherical segment<\/p>\n

Let’s solve an example;
\nFind the radius of a sphere with a surface area of 300 cm2<\/sup> and a height of 12 cm.<\/p>\n

This implies that;
\nA = Surface area of the spherical segment =\u00a0300 cm2<\/sup>
\nh = Height of the spherical segment = 12 cm<\/p>\n

R = A<\/sup> \/ 2\u03c0h<\/sub>
\nR = 300<\/sup> \/ 2 x \u03c0 x 12<\/sub>
\nThat is, R = 300<\/sup> \/ 75.41<\/sub>
\nR = 3.978<\/p>\n

Therefore, the radius of the sphere<\/strong> is 3.978 cm.<\/strong><\/p>\n

<\/p>\n

Calculating the Height of the Spherical segment using the Surface Area of the Spherical Segment and the Radius of the sphere<\/strong><\/h3>\n

h = A<\/sup> \/ 2\u03c0R<\/sub><\/p>\n

Where;
\nR = Radius of the sphere
\nA = Surface area of the spherical segment
\nh = Height of the spherical segment<\/p>\n

Let’s solve an example;
\nFind the height of a spherical segment with a surface area of 420 cm2<\/sup> and a radius of 16 cm.<\/p>\n

This implies that;
\nA = Surface area of the spherical segment =\u00a0300 cm2<\/sup>
\nR = Radius of the sphere = 16 cm<\/p>\n

h = A<\/sup> \/ 2\u03c0R<\/sub>
\nh = 420<\/sup> \/ 2 x \u03c0 x 16<\/sub>
\nSo, h = 420<\/sup> \/ 100.544<\/sub>
\nh = 4.18<\/p>\n

Therefore, the height of the spherical segment<\/strong> is 4.18 cm.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for the Volume of a Spherical Segment | Nickzom Calculator<\/a><\/p>\n

How to Calculate the Surface Area of a Spherical Segment Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong>\u00a0is capable of calculating the surface area of the spherical segment.<\/p>\n

To get the answer and workings of the surface area of the spherical segment using the\u00a0Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 1,500\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/p>\n

Once, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Mensuration<\/strong>\u00a0<\/strong>under the\u00a0Mathematics<\/strong>\u00a0section.<\/p>\n

\"How<\/p>\n

Now, click on\u00a0Surface Area\u00a0of the spherical segment<\/strong>\u00a0under\u00a0Mensuration<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the surface area of the spherical segment according to the respective parameters which are the radius of the sphere (R) and height (h).<\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0example<\/strong>\u00a0above where the\u00a0radius of the sphere\u00a0<\/strong>is 12\u00a0cm\u00a0<\/strong>and\u00a0the height\u00a0<\/strong>is\u00a016 cm.<\/strong><\/p>\n

\"\"<\/p>\n

Finally, Click on Calculate<\/p>\n

\"\"<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u00a0\u2013 The Calculator Encyclopedia solves for the\u00a0Surface Area of a spherical segment<\/strong>and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above is a spherical segment. To calculate the surface area of a spherical segment requires two…","protected":false},"author":5,"featured_media":12648,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Surface Area Spherical Segment","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the steps on How to Calculate and Solve for the Radius, Height and Surface Area of a Spherical Segment | The Calculator 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