{"id":1085,"date":"2018-12-31T23:11:59","date_gmt":"2018-12-31T22:11:59","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=1085"},"modified":"2024-02-16T10:45:55","modified_gmt":"2024-02-16T09:45:55","slug":"how-to-calculate-and-solve-for-the-volume-and-radius-of-a-sphere-the-calculator-encyclopedia","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/12\/31\/how-to-calculate-and-solve-for-the-volume-and-radius-of-a-sphere-the-calculator-encyclopedia\/","title":{"rendered":"How to Calculate and Solve for the Volume and Radius of a Sphere | The Calculator Encyclopedia"},"content":{"rendered":"

\"\"<\/p>\n

The image above is a sphere. To calculate the volume of a sphere, one essential parameter is needed and this parameter is the radius of the sphere (r). You can also use diameter of the sphere (d).<\/p>\n

The formula for calculating the volume of a sphere:<\/p>\n

V = (4\/3)\u03c0r\u00b3<\/p>\n

Where;<\/p>\n

V = Volume of the sphere
\nr = Radius of the sphere<\/p>\n

Let\u2019s solve an example:
\nFind the volume of a sphere when the radius of the sphere is 10 cm.<\/p>\n

This implies that;<\/p>\n

r = Radius of the sphere = 10 cm<\/p>\n

V = (4\/3)\u03c0r\u00b3
\nV = (4\/3)\u03c0 x (10)\u00b3
\nWhich means that, V = (4\/3)\u03c0 x 1000
\nV = (4\/3)3.142 x 1000
\nV = (4\/3)3142
\nThen, V = 1.33 x 3142
\nV = 4188.7<\/p>\n

Therefore, the volume of the sphere is 4188.7 cm\u00b3.<\/p>\n

Calculating the Volume of a Sphere using Diameter of the Sphere.<\/strong><\/h3>\n

V = 4\u03c0d\u00b3<\/sup> \/ 24<\/sub><\/p>\n

Where;<\/p>\n

V = Volume of the sphere
\nd = Diameter of the sphere<\/p>\n

Let\u2019s solve an example:
\nFind the volume of a sphere when the diameter of the sphere is 20 cm.<\/p>\n

This implies that;<\/p>\n

d = Diameter of the sphere = 20 cm<\/p>\n

V = 4\u03c0d\u00b3<\/sup> \/ 24<\/sub>
\nV = 4 x 3.142 x (20)\u00b3<\/sup> \/ 24<\/sub>
\nSo, V = 4 x 3.142 x 8000<\/sup> \/ 24<\/sub>
\nV = 100544<\/sup>\u00a0\/ 24<\/sub>
\nV = 4189.3<\/p>\n

Therefore, the volume\u00a0of the sphere<\/strong> with diameter is 4189.3 cm3<\/sup>.<\/strong><\/p>\n

Calculating the Radius of a Sphere using Volume of the Sphere.<\/strong><\/h3>\n

r = 3<\/sup>\u221a(3V<\/sup> \/ 4\u03c0<\/sub>)<\/p>\n

Where;<\/p>\n

V = Volume of the sphere
\nr = Radius of the sphere<\/p>\n

Let\u2019s solve an example:
\nFind the radius of a sphere when the volume of the sphere is 250 cm3<\/sup>.<\/p>\n

This implies that;<\/p>\n

V = Volume of the sphere = 250 cm3<\/sup><\/p>\n

r = 3<\/sup>\u221a(3V<\/sup> \/ 4\u03c0<\/sub>)
\nr = 3<\/sup>\u221a(3 x 250<\/sup> \/ 4 x 3.142<\/sub>)
\nThat is, r = 3<\/sup>\u221a(750<\/sup> \/ 12.568<\/sub>)
\nr = 3<\/sup>\u221a59.675
\nr = 3.907<\/p>\n

Therefore, the radius of the sphere<\/strong>\u00a0is 3.907 cm.<\/strong><\/p>\n

Calculating the Diameter of a Sphere using Volume of the Sphere.<\/strong><\/h3>\n

d = 3<\/sup>\u221a(24V<\/sup> \/ 4\u03c0<\/sub>)<\/p>\n

Where;<\/p>\n

A\u00a0= Area of the sphere
\nd = Diameter of the sphere<\/p>\n

Let\u2019s solve an example:
\nFind the diameter of a sphere when the volume of the sphere is 40 cm3<\/sup>.<\/p>\n

This implies that;<\/p>\n

V = Volume of the sphere = 40 cm3<\/sup><\/p>\n

d = 3<\/sup>\u221a(24V<\/sup> \/ 4\u03c0<\/sub>)
\nd = 3<\/sup>\u221a(24 x 40<\/sup> \/ 4 x 3.142<\/sub>)
\nSo, d = 3<\/sup>\u221a(960<\/sup> \/ 12.568<\/sub>)
\nd = 3<\/sup>\u221a76.38
\nd = 4.24<\/p>\n

Therefore, the diameter of the sphere<\/strong> is 4.24 cm.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for the Width, Height, Length and Area of a Rectangular Prism | The Calculator Encyclopedia<\/a><\/p>\n

<\/p>\n

How to Calculate and Solve for the Volume of a Sphere Using Nickzom Calculator<\/strong><\/h3>\n

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

To get the answer and workings of the volume of a sphere 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 a Sphere<\/strong>\u00a0under\u00a0Mensuration<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your value, to get the answer for the volume of a sphere according to the respective parameter which is the radius of the sphere (r).<\/p>\n

\"\"<\/p>\n

Now, enter the value appropriately and accordingly for the parameter as required by the\u00a0example<\/strong>\u00a0above where the\u00a0radius of the sphere<\/strong>\u00a0is 10\u00a0cm.<\/strong><\/p>\n

\"How<\/p>\n

Finally, click on\u00a0Calculate<\/strong><\/p>\n

\"\"<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u00a0\u2013 The Calculator Encyclopedia solves for the volume of a sphere and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above is a sphere. To calculate the volume of a sphere, one essential parameter is needed…","protected":false},"author":5,"featured_media":12527,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[4],"tags":[84,56,349,87,326,396,320,74,397],"class_list":["post-1085","post","type-post","status-publish","format-standard","has-post-thumbnail","category-mathematics","tag-calculator-encyclopedia","tag-mathematics","tag-mensuration","tag-nickzom-calculator","tag-radius","tag-radius-of-a-sphere","tag-sphere","tag-volume","tag-volume-of-a-sphere","cs-entry"],"yoast_head":"\nHow 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