Question

$\text{Volume of a cylinder}=36c{m}^3$
$\text{Then volume (in}c{m}^3\text{) of a cone having same}$
$\text{height and radius as that of the cylinder is}$

• A. 12

Answer 1

The correct option is A 12
Let radius of the cylinder be "r" and height be "h"
$\text{∴ Volume of the cylinder}=\pi r^{2}h$

And, for a cone having same height and radius, we get:
$\text{Volume of the cone}=\frac{1}{3}\pi r^{2}h$

So, Volume of a cone
$=\frac{1}{3}\times \text{volume of cylinder of}$
$\text{same height and radius.}$

$\Rightarrow \text{volume of cone}=\frac{1}{3}\times 36$
$=12c{m}^3$