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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 



    Solution

    The correct option is

    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 


    Mathematics
    RD Sharma
    Standard IX

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