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Curved Surface area of a right circular cylinder

In a cylinder...

Question

In a cylinder, radius is doubled and height is halved, curved surface area will

A

halved

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B

doubled

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C

same

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D

four times

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Solution

The correct option is C same
Curved surface area of cylinder is $2 π r h$ .
Given, $R = 2 r, H = \frac{h}{2}$
Therefore, curved surface area of the cylinder $= 2 π R H$
$= 2 π (2 r) (\frac{h}{2})$
$= 2 π r h$

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