A) \[1254\text{ }c{{m}^{2}}\]
B) \[704\text{ }c{{m}^{2}}\]
C) \[\text{550 }c{{m}^{2}}\]
D) \[~154\text{ }c{{m}^{2}}\]
Correct Answer: C
Solution :
\[\frac{\pi {{r}^{2}}h}{3}=1232\] \[\therefore \] \[{{r}^{2}}=\left( \frac{3\times 1232}{\pi \times h} \right)\] \[\therefore \] \[r=\sqrt{\frac{3\times 1232}{\pi \times h}}=7\] \[l=\sqrt{{{h}^{2}}+{{r}^{2}}}=\sqrt{{{24}^{2}}+{{7}^{2}}}=25\] \[\therefore \] Area of curved surface \[=\pi rl=\frac{22}{7}\times 7\times 25\] \[=550\,c{{m}^{2}}\]
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