Multiple Choice Questions on The volume of a hollow cube is 216x3 What surface area of the largest sphere which be enclosed in it........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The volume of a hollow cube is 216x3 What surface area of the largest sphere which be enclosed in it...........

Quantitative Aptitude ( CCS) Mensuration 3D
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    The volume of a hollow cube is 216x3. What surface area of the largest sphere which be enclosed in it ?

    18πx2

    Incorrect Answer

    27πx2

    Incorrect Answer

    36πx2

    Correct Answer

    72πx2

    Incorrect Answer
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    Explanation:

    Given that,
    Volume of cube = 216x3
    ⇒  (side)3 = (6x)3
    ⇒  side = 6x
    ∴  Diameter of sphere = Side of cube = 6x
    and, radius of sphere (r) = 3x
    Now, surface area of sphere = 4πr = 4π × (3x)2 = 36πx2

    By: Amit Kumar
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