Thread: 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?

If one side of a cube has length s, its volume is .

If a cylinder has height h and base radius r, its volume is .

If a cone has height h and base radius r, its volume is .

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.