Multiple Choice Questions on The diameter of a sphere is 9 cm It is melted and drawn into a wire of diameter 3 cm Find the length........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The diameter of a sphere is 9 cm It is melted and drawn into a wire of diameter 3 cm Find the length...........

Quantitative Aptitude ( CCS) Mensuration 3D
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    The diameter of a sphere is 9 cm. It is melted and drawn into a wire of diameter 3 cm. Find the length of the wire.

    54 cm

    Correct Answer

    36 cm

    Incorrect Answer

    68 cm

    Incorrect Answer

    48 cm

    Incorrect Answer
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    Explanation:

    Vol. of sphere =
    4/3πr3 = 4/3π(4.5)3 = 121.5πcm^3
    Wire is of cylindrical shape
    ∴πR2H = 121.5π ⇒ (1.5)2 H = 121.5
    H = 54 cm

    By: MIRZA SADDAM HUSSAIN
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