Multiple Choice Questions on The ratio of surface area to diameter of a sphere whose volume is 36 pi cu cm is ........ for ACIO - Intelligence Bureau Preparation

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Multiple Choice Questions

The ratio of surface area to diameter of a sphere whose volume is 36 pi cu cm is ........

Quantitative Aptitude (IB) Mensuration 3D
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    The ratio of surface area to diameter of a sphere whose volume is 36π cu cm is

    3π

    Incorrect Answer

    6π

    Correct Answer

    6

    Incorrect Answer

    None of these

    Incorrect Answer
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    Explanation:

    Let radius of sphere = r
    Given that,
    Volume of sphere = 36π cm3
    ∴ 4/3 πr2 = 36π
    ⇒  r2 = 36 × 3 /4 = 27
    ⇒  r = 3 cm
    ∴  Reqd. ratio = Surface area of sphere /Diameter of sphere
    = 4πr2 /2π
    = 2π × 3 = 6π

    By: Amit Kumar
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