{"id":1326,"date":"2019-01-11T00:54:24","date_gmt":"2019-01-10T23:54:24","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=1326"},"modified":"2024-02-17T17:28:38","modified_gmt":"2024-02-17T16:28:38","slug":"how-to-calculate-and-solve-for-the-volume-of-a-spherical-segment-nickzom-calculator","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/01\/11\/how-to-calculate-and-solve-for-the-volume-of-a-spherical-segment-nickzom-calculator\/","title":{"rendered":"How to Calculate and Solve for the Volume of a Spherical Segment | Nickzom Calculator"},"content":{"rendered":"

\"\"<\/p>\n

The image above is a spherical segment. To calculate the volume of a spherical segment requires three essential parameters which are the radius of the spherical segment base (r1<\/sub>), the radius of the spherical segment (r2<\/sub>), and height (h).<\/p>\n

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

V =\u00a0\u03c0h(3r1<\/sub>\u00b2 + 3r2<\/sub>\u00b2 + h\u00b2)<\/sup> \u2044 6<\/sub><\/p>\n

Where;
\nV = Volume of the spherical cap
\nr1<\/sub> = Radius of the spherical segment base
\nr2<\/sub>\u00a0= Radius of the spherical segment base
\nh = Height of the spherical segment<\/p>\n

Let’s solve an example;
\nFind the volume of a spherical segment when the radius of the spherical segment base (r1<\/sub>) is 7 cm, the radius of the spherical segment base (r2<\/sub>) is 9 cm, and a height of 20 cm.<\/p>\n

This implies that;
\nr1<\/sub> = Radius of the spherical segment base = 7 cm
\nr2<\/sub>\u00a0= Radius of the spherical segment base = 9 cm
\nh = Height of the spherical segment = 20 cm<\/p>\n

V =\u00a0\u03c0h(3r1<\/sub>\u00b2 + 3r2<\/sub>\u00b2 + h\u00b2)<\/sup> \u2044 6<\/sub>
\nV = \u03c0 x 20(3 x 7\u00b2 + 3 x 9\u00b2 + 20\u00b2)<\/sup> \u2044 6<\/sub>
\nThat is, V = \u03c0 x 20(3 x 49 + 3 x 81 + 400)<\/sup> \u2044 6<\/sub>
\nV = \u03c0 x 20(147 + 243 + 400)<\/sup> \u2044 6<\/sub>
\nV = \u03c0 x 20(790)<\/sup> \u2044 6<\/sub>
\nSo, V = \u03c0 x 15800<\/sup> \u2044 6<\/sub>
\nV = 49643.6<\/sup> \u2044 6<\/sub>
\nV = 8273.9<\/p>\n

Therefore, the volume of the spherical segment<\/strong> is 8273.9 cm3<\/sup>.<\/strong><\/p>\n

Read more:\u00a0How to Calculate the Radius, Height and Curved Surface Area of a Spherical Cap | The Calculator Encyclopedia<\/a><\/p>\n

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

<\/p>\n

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

To get the answer and workings of the volume 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\u00a0Volume of the spherical segment<\/strong>\u00a0under\u00a0Mensuration<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the volume of the spherical segment according to the respective parameters which are the\u00a0radius of the spherical segment base (r1<\/sub>), radius of the spherical segment (r2<\/sub>) 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 radius of the spherical segment base (r1<\/sub>)<\/strong> is 7 cm<\/strong>, radius of the spherical segment (r2<\/sub>)<\/strong> is 9 cm<\/strong> and height (h)<\/strong> is 20 cm.<\/strong><\/p>\n

\"How<\/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\u00a0Volume of a spherical segment<\/strong>\u00a0and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above is a spherical segment. To calculate the volume of a spherical segment requires three essential…","protected":false},"author":5,"featured_media":12644,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Volume Spherical Segment","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Here's a comprehensive guide on How to Calculate and Solve for the Volume of a Spherical Segment | Nickzom 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