A) \[240\text{ }c{{m}^{2}}\]
B) \[250\text{ }c{{m}^{2}}\]
C) \[220\text{ }c{{m}^{2}}\]
D) \[230\text{ }c{{m}^{2}}\]
Correct Answer: C
Solution :
Let, Radius of cylinder (r) \[=5x\] Height of Cylinder \[(h)=\,7x\] \[\therefore \] Volume \[=\frac{22}{7}\times 25{{x}^{2}}\times 7x=550\] \[{{x}^{3}}=1\Rightarrow x=1\,\,\,\,\therefore r=5cm\,\,\,\,\,\therefore \,\,h=7cm\] \[\therefore \] Curved surface area \[=2\,\pi rh\] \[=\,\,\,\,\,2\times \frac{22}{7}\times 5\times 7=\,\underline{\mathbf{220}\,\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}}\]
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