Question

The cone in the figure below has a volume of 72π cubic centimeters and a height of 6

centimeters. What is the radius of the base of the cone, in centimeters?

Answer 1

6 cm

Explanation:

The volume of a cone = (1/3) πr²h

72π = (1/3) π r² 6

72 = (1/3) r² 6

Divide both sides by 6

12 = (1/3) r²

Multiply both sides by 3

36 = r²

So r (radius) = 6 cm