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Question

Two circular cylinders of equal volume have their heights in the ration 1:2. Ration of their radii is 

(a) 1 : 2  (b)  2 : 1

(c) 1 :  2  (d) 1 :  4



    Solution

    The correct option is

    Let r1 and h1 be the radius and height of the first cylinder, then

    Volume = πr21h1

    Similarly r2 and h2 are the radius and height of the second cylinder

    Volume=πr2h2 But their volumes are equal,

    πr21h1=πr22h2

    =r21r22=h2h1

    h2h1=r22r21

    But h1h2=12

    r22r21=12r21=2r22 r21r21=21r1r2=21

    Ration in radii = 2 : 1

    Hence the correct answer is 2 : 1

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