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    The capacity of a cylindrical tank is 38,500 litres. If the heights is 4 metres, then what is the diameter of the base?
    Question

    The capacity of a cylindrical tank is 38,500 litres. If the heights is 4 metres, then what is the diameter of the base?

    A.

    7 m

    B.

    3.5 m

    C.

    17.5 m

    D.

    1.75 m

    Correct option is B

    Given:

    Capacity of cylindrical tank (V) = 38,500 litres = 38.5 m3

    Height (h) = 4 metres

    Formula used:

    Volume of cylinder V = πr2h

    Where, r = radius

    Solution:

    38.5 = πr2× 4

    => r238.54×π\frac{38.5}4\times​π​​

    => r2 = 3.07

    => r = 3.07\sqrt{3.07}​​

    => r = 1.75 m

    Diameter = 2 × r

    => Diameter = 2 × 1.75

    => Diameter = 3.5 m

    Thus, the correct answer is (B).

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