A) \[349\,\,c{{m}^{2}}\]and \[753.286\,\,c{{m}^{2}}\]
B) \[352\,\,c{{m}^{2}}\] and \[754.286\,\,c{{m}^{2}}\]
C) \[353\,\,c{{m}^{2}}\]and \[755.286\,\,c{{m}^{2}}\]
D) None of the above
Correct Answer: B
Solution :
Volume of the cylinder \[=448\pi \,\,c{{m}^{3}}\] Height of the cylinder \[=7\,\,cm\] Let radius be r, then\[\pi {{r}^{2}}h=448\,\pi \] \[\therefore \]\[{{r}^{2}}=\frac{448\pi }{h\pi }=\frac{448}{7}=64\]\[\Rightarrow \]\[r=8\,\,cm\] \[\therefore \]Lateral surface area of the cylinder\[=2\,\pi rh\] \[=2\times \frac{22}{7}\times 8\times 7=352\,\,c{{m}^{2}}\] Total surface area of the cylinder \[=2\,\pi r\,\,(h+r)=2\times \frac{22}{7}\times 8\,\,(7+8)\] \[=2\times \frac{22}{7}\times 8\times 15=\frac{5280}{7}=754.286\,\,c{{m}^{2}}\]
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