Question

Find the radius of a cylinder if its curved surface area is 352 $c{m}^2$ and its height is 16 cm.

Answer 1

Given : Height $=16cm$

Curved surface area $=352c{m}^2$

We know that,

Curved Surface area of a cylinder $=2\pi rh$

$\therefore 2\pi rh=352$

$\Rightarrow 2\times \frac{22}{7}\times r\times 16=352$

$\Rightarrow r=352\times \frac{1}{2}\times \frac{7}{22}\times \frac{1}{16}=\frac{7}{2}=3.5cm$

Hence, radius of the cylinder is $3.5cm$.