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    Question

    A cylindrical vessel 32 cm high having 18 cm as the

    radius of the base is filled with sand. This is emptied on the ground and a conical heap of sand is formed. If the height of the concial heap is 24 cm, the radius of base is:
    A 12 cm Correct Answer Incorrect Answer
    B 24 cm Correct Answer Incorrect Answer
    C 36 cm Correct Answer Incorrect Answer
    D 48 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    `pir^2h = 1/3piR^2H` `(18)^2xx32 = 1/3xxR^2xx24` `R^2 = ((18)^2xx32)/8` `R = 36cm`

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