Geometry Help

Volume of a Cylinder

Today we are going to teach you how to calculate the volume of a cylinder. The formula for calculating the volume of a cylinder is very useful because there are so many cylinders you are bound to come across in your everyday life. Examples of a cylinder are:

Cylinder example

A mug which is has a cylinder body.

Cylinder example

Pipes are long cylinders

Cylinder volume

Candles are often cylinders

There are many more cylinders you will come across and you can calculate the volume of any upright cylinders using the formula we are about to show you. But first, let's examine a diagram of a cylinder and define the terms we will later use.

volume of cylinder

Any cylinders with circular ends have two measurements that are necessary for calculating the volume. The first measurement is the radius of the circular ends of the cylinder. The radius is labelled r in the diagram. For non slanting cylinders, the two circular ends are separated by the length of the cylinder which is labelled h. h is also the perpendicular height of the cylinder. So, given h and the radius r of the circular ends, you are ready to calculate the volume of the cylinder.

Formula for volume of a cylinder

The formula for calculating the volume of a cylinder is pi times the radius squared times h. Or,

Formula for volume of cylinder

Where pi is: pi

That's it. In order to calculate the volume of a cylinder, just find the radius of one of the circular end of the cylinder and the height or length between them, then put into the equation and you have the volume of the cylinder!