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    Question

    What is the volume of the largest sphere that can be

    carved out of a wooden cube of sides 21 cm? (π  = 22/7)
    A 3851 cm^3 Correct Answer Incorrect Answer
    B 6858 cm^3 Correct Answer Incorrect Answer
    C 4851 cm^3 Correct Answer Incorrect Answer
    D 5821 cm^3 Correct Answer Incorrect Answer

    Solution

    Given that sphere is curved out of a wooden cube. Here we can see that the diameter of sphere will be equal to the edge of cube. Diameter = edge of cube 2r = 21 r = 21/2 cm Volume = 4/3 × π r3 = 4/3 × 22/7 × 21/2 × 21/2 × 21/2 = 4850 cm3

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