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    Question

    What is the difference in the volume (in cm³) of a

    sphere of radius 7 cm and that of a cone of radius 7 cm and height 10 cm? (Use π = 22/7)
    A 205 Correct Answer Incorrect Answer
    B 704 Correct Answer Incorrect Answer
    C 1078 Correct Answer Incorrect Answer
    D 924 Correct Answer Incorrect Answer

    Solution

    The difference in volume = [(4/3) × π × 73] - [(1/3) × π × 72 × 10] = [(4/3) × (22/7) × 343] - [(1/3) × (22/7) × 49 × 10] = [(7 × 22)/3] (28 - 10) = (154/3) × 18 = 924 cm3 ∴ The difference in the volume (in cm3) is 924 cm3

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