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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    The ratio of the volume of a cube to that of a sphere, which will exactly tit inside the cube, is

    A)  \[6:\pi \]

    B)                     \[4:\pi \]

    C)  \[5:3\pi \]                     

    D)  \[4:3\pi \]

    Correct Answer: A

    Solution :

    Edge of the cube = diameter of the sphere = 2x (Let) \[\frac{\text{Volume}\,\,\text{of}\,\,\text{the}\,\,\text{cube}}{\text{Volume}\,\,\text{of}\,\,\text{the}\,\,\text{sphere}}=\frac{{{(2x)}^{3}}}{\frac{4}{3}\pi {{x}^{3}}}=\frac{8{{x}^{3}}\times 3}{4\pi {{x}^{3}}}=\frac{6}{\pi }\]


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