What is the height of the cylinder?

Question

A square and a cylinder have the same volume. The side length of the base of the prism is the same as the radius of the cylinder. The height of the prism is 7 centimeters. What is the height of the cylinder?

Answer 1

Cylinder Volume = Prism Volume 

 

pi * r² * h_c = r * r * h_p

 

pi * r² * h_c = r² * 7

 

pi * h_{c  =  7}

 

h_c = 7/pi centimeters = 2.228 centimeters