Cone: Volume

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

Formula

Formula

V = [1/3]πr2h

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

πr2 is the base area (= circle).

Circle: Area

The cone doesn't have to be a right cone.

Example

Example

Solution

The radius of the base is 3.
So r = 3.

The height h is 4.

Then the volume V
is equal to
1/3
times,
the area of the base, π⋅32
times
4.

Cancel the denominator 3
and reduce 32 to, 32/3, 3.

π⋅3⋅4 = 12π

So the volume of the cone is 12π.