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Question

Two cylindrical jars have their diameters in the ratio 3:1, the height 1:3. Then the ratio of their volumes is 

(a) 1 : 4

 (b) 1 : 3 

(c) 3 : 1

 (d) 2 : 5



    Solution

    The correct option is

    Ratio in the diameters of two cylinder = 3:1

    and ration in their heights = 1:3

    Let radius of the first cylinder (r1) = 3x

    and radius of second (r2) = x

    and height of the first (h1) = y

    and height of the second (h2) =3y

    Now volume of the first cylinder = πr2 h

    =π(3x)2×y=9πx2 y

    and of second cylinder = π(x2) (3y)  =3πx2 y

    Ration between then = 9πx2y:3πx2 y

    = 3:1

    Hence correct answer will be  (c) 3 : 1


    Mathematics
    RD Sharma
    Standard IX

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