Question

The curved surface area of a right circular cylinder of height 14 cm is 88 cm${}^2$. Find the diameter of the base of the cylinder.

Answer 1

Let $r$ be the radius and $h$ be the height of the cylinder. Then,

$2\pi rh=88$ and $h=14$

$2\times \frac{22}{7}\times r\times 14=88$

$88r=88$

$r=1$

Therefore, diameter of base = $2r=2cm$