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    The radii of two cylinders are in the ratio 2 : 1 and their heights are in the ratio 5 : 2. The ratio of their volumes is:
    Question

    The radii of two cylinders are in the ratio 2 : 1 and their heights are in the ratio 5 : 2. The ratio of their volumes is:

    A.

    20 : 1

    B.

    15 : 1

    C.

    10 : 1

    D.

    5 : 1

    Correct option is C

    Given:

    The radii of two cylinders are in the ratio 2 : 1 and their heights are in the ratio 5 : 2.

    Formula Used:

    Volume of cylinder = π × r2×hr^2 \times h​​

    Solution:

    Let's assume that the radius of two cylinders are 2x and x, and their heights are 5y and 2y

    Now, ratio of their volumes 

    => π × 4x2x^2 × 5y : π × x2x^2 × 2y

    => 4 × 5 : 2

    => 10 : 1

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