A) \[2424\,\,\text{c}{{\text{m}}^{\text{2}}}\]
B) \[2446\,\,\text{c}{{\text{m}}^{\text{2}}}\]
C) \[2484\,\,\text{c}{{\text{m}}^{\text{2}}}\]
D) \[2464\,\,\text{c}{{\text{m}}^{\text{2}}}\]
Correct Answer: D
Solution :
Volume of the sphere \[=\frac{4}{3}\pi {{r}^{3}}\] \[\Rightarrow \] \[\frac{4}{3}\pi {{r}^{3}}=\frac{88}{21}\times {{(14)}^{3}}\] \[\Rightarrow \] \[\frac{4}{3}\times \frac{22}{7}\times {{r}^{3}}=\frac{4}{3}\times \frac{22}{7}\times {{(14)}^{3}}\] \[\Rightarrow \] \[r=14\] \[\therefore \] The curved surface of the sphere \[=4\pi {{r}^{2}}\] \[=4\times \frac{22}{7}\times 14\times 14\] \[=2464\,\,\text{c}{{\text{m}}^{\text{2}}}\]
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