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Question

In a cylinder, if radius is doubled and height is halved, curved surface area will be _________.


Solution


Let r and h be the radius and height of the cylinder, respectively.

∴ Curved surface of the original cylinder, C1 = 2πrh 

If the radius is doubled and height is halved, then

Radius of the new cylinder, R = 2r

Height of the new cylinder, Hh2

∴ Curved surface of the new cylinder, C2 = 2πRH=2π×2r×h2 = 2πrh

Thus, the curved surface area of the new cylinder is same as the curved surface area of the original cylinder.

In a cylinder, if radius is doubled and height is halved, curved surface area will be __same__.

Mathematics
RD Sharma (2019)
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