Question

The volume (in ${cm}^3$) of a right circular cone of height $12$ cm and base radius $6$ cm is:

• A. $12\pi$
• B. $36\pi$
• C. $72\pi$
• D. $144\pi$

Answer 1

The correct option is D $144\pi$

Given, height of circular cone $=12$ cm and radius of base $6$ cm

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

where $r$ is the radius of the base of the cone and $h$ is the height.
$\therefore$ volume of this cone $=\frac{1}{3}\times \pi \times 6^2\times 12=144\pi {cm}^3$