Question

Volume of cylinder whose radius $r$ is equal to its height is

• A. $\frac{1}{4}\pi r^3$
• B. $\frac{1}{32}\pi r^3$
• C. $\pi r^3$
• D. $\frac{1}{8}\pi r^3$

Answer 1

The correct option is C $\pi r^3$

Let $r$ be the radius of the base of the cylinder, $h$ be the height and $V$ be the volume of the cylinder.

$h=r$ ...given

Volume of cylinder $\left(V\right)=\pi r^{2}h$

$\therefore V=\pi r^2\times r$

$\therefore V=\pi r^3$