# Right Cylinder: Volume

How to find the volume of a right cylinder: formula, 1 example, and its solution.

## Formula

V = πr^{2}h

V: Volume of a cylinder

r: Radius of the base circle

h: Height

πr^{2} is the base area (= circle).

Circle: Area

## Exampler = 4, h = 9, V = ?

Solution

Solution (Detail)

The radius of the base is 4.

So r = 4.

The height h is 9.

Then the volume V

is equal to,

the area of the base, π⋅4^{2}

times

9.

π⋅4^{2} = 16π

16π⋅9 = 144π

So the volume of the cylinder is 144π.