7th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The volume of a sphere whose surface area is \[2464\,c{{m}^{2}}\]is

    A)  \[11498.67\,{{m}^{3}}\]                

    B)  \[21160.34\,c{{m}^{3}}\]

    C)  \[11498.67\,c{{m}^{3}}\]  

    D)  \[21160.34\,{{m}^{3}}\]

    Correct Answer: C

    Solution :

        Let radius of sphere\[=r\,cm\] \[\therefore \]  Surface area\[(S)=4\pi {{r}^{2}}\] \[4\pi {{r}^{2}}=2464\Rightarrow {{r}^{2}}=\frac{2464}{4\times 22}\times 7\Rightarrow r=14\,cm\] Volume of sphere\[(V)=\frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\times \frac{22}{7}\times {{(14)}^{3}}\] \[=11498.67\,c{{m}^{3}}\]


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