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    If the capacity of a cylindrical tank is 1408 m³ and the depth of the tank is 7 meters, then the radius of its base is -
    Question



    If the capacity of a cylindrical tank is 1408 m³ and the depth of the tank is 7 meters, then the radius of its base is -

    A.

    64 meter

    B.

    4 meter

    C.

    16 meter

    D.

    8 meter

    Correct option is D


    Given, V = 1408 m³ and h = 7 m
    We need to find 'r'. So, we plug the values into the formula:
    1408 = πr² x 7
    Divide both sides of the equation by 7π
    r² = 1408 / (7π)
    Using the approximation π ≈ 22/7
    r² = 1408 / (7 x 22/7) r² = 1408 / 22 r² = 64
    Take the square root of both sides:
    r = √64 r = 8 m
    Therefore, the radius of the base is 8 meters.

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