-A right circular cylinder and a right circular cone with the same circular base and same length of altitude will have the same volume.

Question

Quizplus · Accepted Answer

The volume of a right circular cylinder is given by $V_{cylinder} = \pi r^2 h$, whereas the volume of a right circular cone is $V_{cone} = \frac{1}{3} \pi r^2 h$, where $r$ is the radius of the base and $h$ is the height (or altitude). Since the cone's volume is a third of the cylinder's volume with the same base radius and height, they do not have the same volume.

-A Right Circular Cylinder and a Right Circular Cone with the Same