How to Find the Volume of a Sphere with the Radius

Written by alex taylor
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How to Find the Volume of a Sphere with the Radius
A sphere is a round object in three-dimensional space. (sphere image by Dimitris Chaidas from Fotolia.com)

A sphere is a round object in three-dimensional space measured by points from the centre to the outer surface, also known as the radius. The volume of a sphere is a measurement of the area inside the surface area. The formula for measuring the volume of a sphere is V = (4/3) * (π) * (r³), where r equals the radius.

Skill level:
Easy

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Things you need

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Instructions

  1. 1

    Cube the radius. For example, if the radius is 3, calculate 3 * 3 * 3, which equals 27.

  2. 2

    Multiply the cubed radius by π, which is approximately 3.1415. In this example, 27 * π equals 84.8205.

  3. 3

    Multiply the cubed radius and π by 4/3. In this example, 84.8205 * (4/3) equals 113.094. The volume of a sphere with a radius of 3 is 113.094 cubic units.

Tips and warnings

  • You can also calculate the surface area of a sphere using the formula S = 4 * π * r².

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