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10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The volume of a sphere is \[\frac{4}{3}\pi {{r}^{3}}\] c.c. What is the ratio of the volume of a cube to that of a sphere which will fit inside the cube?

    A)  \[\text{4 }:\text{ 3}\pi \]

    B)  \[2:\text{ }\pi \]

    C)  \[8:\text{ }\pi \]

    D)  \[6:\text{ }\pi \]  

    Correct Answer: D

    Solution :

    \[\frac{Volume\,of\,cube}{Volume\,of\,sphere}=\frac{{{(2r)}^{3}}}{\frac{4}{3}\pi {{r}^{3}}}=\frac{8.{{r}^{3}}\times 3}{4\pi \,{{r}^{3}}}=\frac{6}{\pi }\]


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