Question

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

Hint: To solve this problem we have to use the formula of curved surface area of a cylinder, and we should also know the relation between radius and diameter which is basic but important.

Given the curved surface area of the circular cylinder =$88c{m^2}$.
Also given that height of (h) = 14cm
We know that curved surface area of circular cylinder = $2\pi rh$
Then we can say that
$\Rightarrow 2\pi rh = 88$
$\Rightarrow 2\pi r \times 14 = 88$ $[\because h = 14cm]$
$\Rightarrow r = \dfrac{{88 \times 7}}{{28 \times 22}}$
$\Rightarrow r = 1$