Question

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

• A. $2$
• B. $3$
• C. $6$
• D. $4$

Answer 1

The correct option is A $2$

Let the radius of the base of the cylinder be $rcm$, height $h=14cm$
Curved surface area $=88{cm}^2$
$\Rightarrow$ $2\pi rh=88$
$\Rightarrow$ $2\times \frac{22}{7}\times r\times 14=88$
$\Rightarrow$ $r=\frac{88\times 7}{2\times 22\times 14}$
$\Rightarrow$ $r=1$
$\Rightarrow$ $2r=2$

Hence, diameter of the base is $2$.