8th Class Mathematics Mensuration Question Bank Mensuration

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

    A)  11498.67 \[c{{m}^{3}}\]    

    B)  12298 \[c{{m}^{3}}\]       

    C)  23598.67 \[c{{m}^{3}}\]        

    D)  1248.67 \[c{{m}^{3}}\]

    Correct Answer: A

    Solution :

    (a): Surface area \[=2464=4\pi {{r}^{2}}\] \[\Rightarrow {{r}^{2}}=\frac{2464}{4\pi }\] \[\frac{2464\times 7}{4\times 22}\] \[=\frac{308\times 7}{11}=28\times 7\] \[\Rightarrow r=14\,.\]  \[\therefore \]vol\[=\frac{4}{3}\times \frac{22}{7}\times 14\times 14\times 14\] \[=\frac{88\times 28\times 14}{3}=\frac{88\times 392}{3}\] = 11498.67.


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