A) \[1254\,\,c{{m}^{2}}\]
B) \[704\,\,c{{m}^{2}}\]
C) \[550\,\,c{{m}^{2}}\]
D) \[157\,\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Volume of the cone \[=\frac{1}{3}\pi {{r}^{2}}h\] \[\Rightarrow \] \[1232=\frac{1}{3}\times \frac{22}{7}\times {{r}^{2}}\times 24\] \[\Rightarrow \] \[{{r}^{2}}=\frac{1232\times 3\times 7}{22\times 24}=49\] \[\therefore \] \[r=7\] \[\therefore \] Slant height \[=\sqrt{{{(24)}^{2}}+{{(7)}^{2}}}\] \[=\sqrt{576+49}=\sqrt{625}=25\,\,cm\] Area of curved surface \[=\pi rl\] \[=\frac{22}{7}\times 7\times 25=550\,\,c{{m}^{2}}\]You need to login to perform this action.
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