Right Cylinder: Volume

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

Formula

Formula

V = πr2h

V: Volume of a cylinder
r: Radius of the base circle
h: Height

πr2 is the base area (= circle).

Circle: Area

Example

Example

Solution

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⋅42
times
9.

π⋅42 = 16π

16π⋅9 = 144π

So the volume of the cylinder is 144π.