Question

If lateral surface area of a cylinder of height 10 cm is 100 cm ${}^2$, find radius of its base.

• A. $5\pi$
• B. $\frac{5}{\pi }$
• C. $6\pi$
• D. $\frac{\pi }{5}$

Answer 1

Given that, the lateral surface area of a cylinder of height $10cm$ is $100c{m}^2$.

To find out: The radius of the base of the cylinder.

We know that, lateral surface area of a cylinder is $2\pi rh$

$\therefore 2\pi rh=100$

$\Rightarrow 2\pi r\left(10\right)=100$

$\Rightarrow 20\pi r=100$

$\Rightarrow r=\frac{100}{20\pi }$

$\therefore r=\frac{5}{\pi }$

Hence, the radius of the base of the given cylinder is $\frac{5}{\pi }$.