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# Finding the Volume of a Cone

(KS3, Year 8)

## The Lesson

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:

## "Find the Volume" 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}.

## What Is a Cone?

A cone is an object which starts with a circle, and then tapers to a point.## A Cone in a Cylinder

If a cone is placed in a cylinder, the volume of the cone is exactly a third of the volume of the cylinder. Can you work out why?**Help Us To Improve Mathematics Monster**

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