Question

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

Answer 1

Given:

Height $\left(h\right)=14$ $cm$

To calculate diameter.

$\Rightarrow$Let $x$ be the diameter and $r$ be the radius

$\therefore$ $x=2r$

Curved surface Area $=88$ cm${}^2$

$\Rightarrow$$2\pi rh=88$

$\Rightarrow$$\pi xh=88$

$\Rightarrow$$x=\frac{88}{\pi h}$

$\Rightarrow$$x=\frac{88\times 7}{22\times 14}$

$\Rightarrow$$x=2$ cm

Diameter $=2$ cm