A) \[0.87\pi \,and\,0.2%\]
B) \[0.8\pi \,and\,0.8%\]
C) \[0.4\pi \,and\,0.4%\]
D) \[\pi \,and\,1%\]
E) \[0.6\pi \,and\,0.6%\]
Correct Answer: B
Solution :
Surface area\[=4\pi {{r}^{2}}\] \[\therefore \]Error in surface area\[=4\pi {{(r+\Delta r)}^{2}}-4\pi {{r}^{2}}\] where\[r=5,\text{ }\Delta r=0.02.\] \[\Rightarrow \]Error \[=4\pi [{{r}^{2}}+\Delta {{r}^{2}}+2r\Delta R-{{R}^{2}}]\] \[=0.8\,\pi \] % Error\[=\frac{0.8\pi }{100\pi }\times 100=0.8%\]
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