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

Question

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

Options:

A . 2 cm

B . 1 cm

C . 4 cm

D . 3 cm

Answer: Option A
:
A

CSA of a cylinder $= 2 π r h$

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

Therefore, diameter = 2r = 2 cm.

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