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    Question

    A sphere is melted to form 81 identical cylinders. If

    radius of each cylindrical is 1/3rd of the radius of sphere and height of each cylinder is 4 cm, then find the radius of sphere.
    A 17 cm Correct Answer Incorrect Answer
    B 27 cm Correct Answer Incorrect Answer
    C 21 cm Correct Answer Incorrect Answer
    D 19 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let radius and height of each cylinder be ‘r’ cm. So, radius of sphere = 4r cm Volume of sphere = 81 × volume of each cylinder => (4/3)π(3r)3 = 81 × π × r2 × 4   => 9r = 81 => r = 9 So, required radius = 3r = 27 cm

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