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