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Question

In a cylinder, if radius is halved and height is doubled, the volume will be (a) same (b) doubled

(c) halved (d) four times


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    Solution

    Let r be radius and h be height, then

    Volume = πr2 h

    If radius is halved and height is doubled

    Then volume =π(12r)2×(2h)

    =π×14r2×2h=12πr2 h

    It is halved

    Hence the correct answer is (c) halved


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