# How to Find the Volume of a Cylinder (Mathematics Lesson)

# How to Find the Volume of a Cylinder

The volume of a cylinder is found using the formula:In this formula,

**r**is the radius of the cylinder and

**h**is the height of the cylinder. The image below shows what we mean by the radius and height:

# A Real Example of How to Find the Volume of a Cylinder

#### An Example Question

What is the volume of a sphere with a radius of 5 cm, as shown below?Step 1

Start with the formula:
Volume = πr

^{2}h**Don't forget:**π is pi (≈ 3.14)

**and**r

^{2}= r × r (r squared)

Step 2

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

Volume = π × 5 × 5 × 10

Volume = π × 250

Volume = 3.14 × 250

Volume = 785 cm

The volume of the sphere with a radius of 5 cm and a height of 10 cm is 785 cm^{2}× 10Volume = π × 5 × 5 × 10

Volume = π × 250

Volume = 3.14 × 250

Volume = 785 cm

^{3}^{3}.

# Another Real Example of How to Find the Volume of a Cylinder

The slider below shows another real example of how to find the volume of a cylinder:##### Curriculum

##### Interactive Test

**show**

Here's a second test on finding the volume of a cylinder.

Here's a third test on finding the volume of a cylinder.

##### Note

# What Is a Cylinder?

A cylinder has two ends that are circles that are parallel to each other and are joined by a curved surface.# A Sphere in a Cylinder

If a sphere is placed in a cylinder, the volume of the sphere is exactly two-thirds the volume of the cylinder.

Can you work out why?

# 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?