A) \[5000\text{ }c{{m}^{2~}}\]
B) \[~6200\text{ }c{{m}^{2}}\]
C) \[5500\text{ }c{{m}^{2}}\]
D) \[6000\text{ }c{{m}^{2}}\]
Correct Answer: C
Solution :
Here, \[r=7\,cm\]and \[h=24\,cm\] We know that \[{{l}^{2}}={{r}^{2}}+{{h}^{2}}\] \[{{l}^{2}}={{(h)}^{2}}+{{(24)}^{2}}=49+576\] \[l=\sqrt{{{(7)}^{2}}+{{(24)}^{2}}}=25\,cm\] \[\therefore \]\[C.S.A=\pi rl=\frac{22}{7}\times 7\times 25=550\,c{{m}^{2}}\]
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