How to Find the Volume of a Sphere

Finding the Volume of a Sphere

The volume of a sphere is found using the formula:

In this formula, r is the radius of the sphere. The image below shows what we mean by radius:

How to Find the Volume of a Sphere

Question

What is the volume of a sphere with a radius of 5 cm, as shown below?

Step-by-Step:

1

Start with the formula:

Volume = 4πr3 ⁄ 3

Don't forget: π is pi (≈ 3.14) and r3 = r × r × r (r cubed) and ⁄ means ÷.

2

Substitute the radius into the formula. In our example, r = 5.

Volume = 4 × π × 53 ⁄ 3

Volume = 4 × π × 125 ÷ 3

Volume = 4 × 3.14 × 125 ÷ 3

Volume = 523.3 cm3

Answer:

The volume of the sphere with a radius of 5 cm is 523.3 cm3.

Slider

The slider below shows another real example of how to find the volume of a sphere.

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See Also

What is the radius? Finding the volume of a sphere ( interactive widget)