# How to Find the Volume of a Cone

## Finding the Volume of a Cone

The volume of a cone is found using the formula:

In this formula, **r** is the radius of the circle at the base of the cone and **h** is the height of the cone. The image below shows what we mean by the radius and height:

## Interactive Widget

Use this **interactive widget** to create a cone and then calculate its volume. 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 Cone

### Question

What is the volume of a cone with a circular base with a radius of 5 cm and a height of 10 cm, as shown below?

### Step-by-Step:

# 1

# 2

Substitute the radius and the height into the formula. In our example, r = 5 and h = 10.

Volume = π × 5^{2} × 10 ⁄ 3

Volume = π × 5 × 5 × 10 ÷ 3

Volume = π × 250 ÷ 3

Volume = 3.14 × 250 ÷ 3

Volume = 262 cm^{3}

### Answer:

The volume of the cone with a circular base with a radius of 5 cm and a height of 10 cm is 262 cm^{3}.