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    Question

    If the volume of a sphere is divided by its

    surface area, we obtain 64 cm. What will be the radius of the sphere?
    A 192 cm Correct Answer Incorrect Answer
    B 181cm Correct Answer Incorrect Answer
    C 227cm Correct Answer Incorrect Answer
    D 242cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the radius of the sphere be R `(Volume of sphere)/(Surface area of sphere) = (4/3Pir^3)/(4Pir^2)` = 64 cm. ⇒ [if gte msEquation 12]> 1 3 [if !msEquation]--> [endif]--> `1/3` r = 64 cm ⇒ r = 192 cm ∴ R = 3 × 64 = 192 cm .

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