Question

The volume of a right circular cylinder with radius $6$ is $9\pi$. Calculate the height of the cylinder.

• A. $\frac{1}{4}$ or $0.25$
• B. $0.20$
• C. $\frac{1}{3}$
• D. $\frac{2}{5}$

Answer 1

The correct option is A $\frac{1}{4}$ or $0.25$

Given, volume of right circular cylinder is $9\pi$, radius is $6$
As per problem, height will be
Volume $=\pi r^{2}h$
$\Rightarrow 9\pi =\pi 6^{2}h$
$\Rightarrow 36h\pi =9\pi$
$\Rightarrow 36h=9$

$\Rightarrow h=\frac{9}{36}=\frac{1}{4}=.25$

Height will be $\frac{1}{4}$ or $0.25$.