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    Question

    A sphere has a radius that is one-third of the radius of

    a circle whose circumference is 216 cm. Calculate the volume of the sphere. (Use π = 3)
    A 7,536 cubic cm Correct Answer Incorrect Answer
    B 6,872 cubic cm Correct Answer Incorrect Answer
    C 7,284 cubic cm Correct Answer Incorrect Answer
    D 6,912 cubic cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Circumference of circle = 2 X π X radius So, 2 X 3 X radius = 216 Or, radius = 36 cm Radius of sphere = (36/3) = 12 cm Volume of sphere = (4/3) X π X radius3 = (4/3) X 3 X 123 = 6,912 cm3

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