Question

Question 6
A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.

Answer 1

True.
Let the radius of the base of a cylinder and a right circular cone be r and height be h. then,

Volume of the cylinder $=\pi r^{2}h$

Volume of the cone $=\frac{1}{3}\pi r^{2}h$

$\therefore$ Volume of the cylinder = 3 $\times$ Volume of the cone