# 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:

## Interactive Widget

Use this **interactive widget** to create a sphere and then calculate its area. Start by clicking in the shaded area.

**Oops, it's broken!Turn your phone on its side to use this widget.**

## 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 = 4πr^{3} ⁄ 3

**Don't forget:** π is pi (≈ 3.14) **and** r^{3} = r × r × r (r cubed) **and** ⁄ means ÷.

# 2

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

Volume = 4 × π × 5^{3} ⁄ 3

Volume = 4 × π × 125 ÷ 3

Volume = 4 × 3.14 × 125 ÷ 3

Volume = 523.3 cm^{3}

### Answer:

The volume of the sphere with a radius of 5 cm is 523.3 cm^{3}.