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Question

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

(a) halved (b) doubled

(c) same (d) foru times


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    Solution

    Let radius of the first cylinder (r1) = r

    and height (h1) = h

    Surface area = 2π rh

    If radius is doubled and height is halved

    then radius (r2) = 2r and height (h2)=h2

    Then surface area = 2π(2r)×h2

    =2π×2r×h2=2πrh

    Their surface area remains the same


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