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    Question

    A hemispherical bowl of internal radius 9 cm, contains a

    liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl is
    A 18 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D 54 Correct Answer Incorrect Answer

    Solution

    Hemispherical bowl of internal radius 9 cm r = 9 volume of hemispherical bowl = 2/3 × π × r3 = 2/3 × π × 93 = 486π small cylindrical bottles of diameter 3 cm and height 4 cm radius = 3/2 volume of cylindrical bottles = πr2h = π × 3/2 × 3/2 × 4 = 9π no of bottles required = 486π/9π = 54

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