Question

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?

Answer 1

The radius of the cone is 3 cm. 

Answer 2

Cylinder Volume = PI * radius^2 * height
Cylinder Volume = 3.14159 * 1 * 21
Cylinder Volume = 65.97 cc

Volume Cone = [PI * radius^2 * height] / 3
radius^2 = 3 * 65.97 / (3.14159 * 7)
radius^2 = 9
radius = 3 centimeters