Question

If the curved surface area of a cylinder of height 14 cm is 88 sq. cm, then find the diameter of the cylinder.

• A. 2 cm
• B. 1 cm
• C. 4 cm
• D. 3 cm

Answer 1

The correct option is A 2 cm

CSA of a cylinder $=2\pi rh$

Given,
CSA $=88{\text{cm}}^2$ and $h=14\text{cm}$
$2\pi rh=882r=\frac{88}{\pi h}=88\times \frac{7}{22}\times \frac{1}{14}=4\times 7\times \frac{1}{14}2r=2\text{cm}$

Therefore, diameter = 2r = 2 cm.