# Math Help - its a question on Areas and Volumes

1. ## its a question on Areas and Volumes

Q. A right circular cylinder is inside a cube and is touching all it's vertical sides.
there is a right circular cone inside the cylinder. If there base and height is same.then find the ratio of the volumes of all the three?

2. If one side of a cube has length s, its volume is $s^3$.

If a cylinder has height h and base radius r, its volume is $\pi r^2h$.

If a cone has height h and base radius r, its volume is $\frac{1}{3}\pi r^2 h$.

Since the cylinder just fits inside the cube, h= s and r= (1/2)s.

Since the cone just fits inside the cylinder, it also has h= s and r= (1/2)s.