Question

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

• A. three times the volume of the cone.
  
• B. half the volume of the cone.
• C. twice the volume of the cone.
• D. same as the volume of the cone.

Answer 1

The correct option is A three times the volume of the cone.

$V_1=$ Volume of cylinder $=\pi r^{2}h$

$V_2=$Volume of cone $=\frac{1}{3}\pi r^{2}h$

$\therefore V_2=\frac{1}{3}{V}_1$

Therefore, $V_1=3V_2$ implies that the volume of the cylinder is three times the volume of the cone.