Question

    How many identical spherical

    marbles having a diameter of 4 cm can be made by melting a hemisphere of radius 28 cm? (Use π = 22/7)
    A 1,256 Correct Answer Incorrect Answer
    B 2,136 Correct Answer Incorrect Answer
    C 1,372 Correct Answer Incorrect Answer
    D 1,750 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Volume of hemisphere = (2/3) × π × radius³ Volume of sphere = (4/3) × π × radius³ Let the required number of spheres be 'N'. So, N × (4/3) × (22/7) × (4/2)³ = (2/3) × (22/7) × 28³ Or, 'N' = 1372

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