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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 $$2 \pi r h$$.
Given, $$R=2r,H=\dfrac{h}{2}$$
Therefore, curved surface area of the cylinder$$=2\pi RH$$
$$=2\pi(2r)\left (\dfrac{h}{2}\right)$$
$$=2\pi rh$$

Mathematics

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