A) \[\text{5}00\text{ c}{{\text{m}}^{\text{2}}}\]
B) \[\text{55}0\text{ c}{{\text{m}}^{\text{2}}}\]
C) \[\text{6}0\text{7 c}{{\text{m}}^{\text{2}}}\]
D) \[\text{65}0\text{ c}{{\text{m}}^{\text{2}}}\]
Correct Answer: B
Solution :
Given, Height \[(h)=24\,cm.,\]Radius\[(r)=7\,cm\] \[\therefore \] Slant height, \[l=\sqrt{{{h}^{2}}+{{r}^{2}}}=\sqrt{{{24}^{2}}+{{7}^{2}}}\] \[=\sqrt{576+49}=\sqrt{625}\] \[=25\,cm\] Hence, curved surface of cone \[=\pi \,\,rl\] \[=\frac{22}{7}\times 7\times 25=550\,c{{m}^{2}}\]
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