Find the volume of a cone.
The same base-times-height calculation as a cylinder, but exactly one-third of it.
Volume: (1/3) × π × radius² × height
Why is a cone exactly a third of the equivalent cylinder?
A cone narrows evenly down to a point. It can be shown, using geometry and calculus, that this tapering shape holds exactly one-third the volume of a cylinder with the same base and height.