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    Question

    A solid spherical gold ball

    having a radius of 10 cm is melted to form smaller balls of radius 5 mm each. Find the number of such spherical gold balls obtained.
    A 3305 Correct Answer Incorrect Answer
    B 1150 Correct Answer Incorrect Answer
    C 6500 Correct Answer Incorrect Answer
    D 8000 Correct Answer Incorrect Answer

    Solution

    ATQ,

    The volume of the larger ball will be equal to the combined volume of all the smaller balls. Let the number of smaller obtained be ‘n’. Therefore, Simplifying, Thus, the number of smaller balls obtained is 8000 .

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