Question

How does the volume of a cone compare to a cylinder with the same radius and height?

Select an answer

A.
The cone’s volume is three times greater.


B.
The cone’s volume is the same.


C.
The cone’s volume is one-third of the cylinder’s volume.


D.
The cone’s volume is half of the cylinder’s volume.

Answer 1

C. The cone’s volume is one-third of the cylinder’s volume.

Reason: V_cone = (1/3)πr^2h while V_cylinder = πr^2h, so V_cone = (1/3)V_cylinder.