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    Question

    A spherical ball with a radius of 14 cm is melted and

    cast into smaller solid cubes, each with a side length of 7 cm. How many such cubes can be formed?
    A 32 Correct Answer Incorrect Answer
    B 28.5 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 33.5 Correct Answer Incorrect Answer

    Solution

    Volume of the sphere = (4/3)πr³ = (4/3) × (22/7) × 14³  = (4/3) × (22/7) × 2744 = 11498.66 cm³. Volume of each cube = a³ = 7³ = 343 cm³. Number of cubes = Volume of the sphere / Volume of each cube  = 11498.66 / 343 ≈ 33.5 Correct option: d

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