Volume: Cylinder

Volume of a Cylinder

The volume of a rectangular prism is the area of the base x height. We can use this formula to find the volume of a cylinder.

The area of the base is calculated by finding the area of the circle.

You'll remember the area of a circle is:

A = pi times radius squared

A =pi x r2

OR

A = pi x r x r

We generally use 3.14 for an approximate value of .

In this case the radius is 8cm so the area of the circle is:

A = pi x 8x8 = 3.14 x 64 = 200.96cm2

The volume of the cylinder is the area of the base times the height.

Volume = 200.96 x 14 = 2813.44

The volume of the cylinder is 2813.44cm3

The formula for finding the volume of a cylinder is:

Volume = Area of base x height

Since the Area of the base is rxr you could also say that:

V = pixrxrh