Volume of a cone based off the volume of a cylinder

Question

A cylinder has a volume of 600 in ³. 

  

Find the volume of a cone with the same radius and height as the cylinder.

Answer 1

Hi Kelly,

The volume of a cylinder is given by

V_cylinder = pi r² h

where r is the radius and h is the height of the cylinder.

For the same radius r and height h, the volume of a cone is given by:

V_cone = pi r² h/3

Therefore, for a cone which has the same radius and height as a cylinder, the volume of the cone is one-third (1/3) the volume of the cylinder. Hence:

V_cone = V_cylinder/3 = 600/3 = 200