# 3 Volume of a cone: Exact answers in terms of pi

Question

Find the volume of a cone with a base radius of 3ft and a height of 7ft. Write the exact volume in terms of pi
, and be sure to include the correct unit in your answer.

Answer 1

The volume of a cone is 1/3Bh, where B is the area of the base.

 

The base radius is 3 ft, so its area is π*3² = 9π

 

So the volume is 1/3 * 9π * 7 = 21π ft³