Question

A cylinder an a cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches.The cone has a radius of 3 inches . What is the height of the Cone?

Answer 1

  Volume of a cone =  (1/3) pi x r^2 x h

Volume of a cylinder =  pi x r^2 x h

Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches

Now set the volume for the cone to the volume of the cylinder and solve for the height.

37.68 = (1/3) x pi x r^2 x h

37.68 = (1/3) x pi x 3^2 x h

37.68 = (1/3) x pi x 9 x h

37.68 = 9.42 x h

h = 37.68 / 9.42

h = 4

The height of the cone is 4 cm.