A) 4%
B) 6%
C) 8%
D) 2%
Correct Answer: B
Solution :
| Volume of a sphere \[=\frac{4}{3}\pi \] (radius)3 |
| or \[V=\frac{4}{3}\pi {{R}^{3}}\] |
| Taking logarithm on both sides, we have |
| \[\log V=\log \frac{4}{3}\pi +3\log R\] |
| Differentiating, we get \[\frac{\Delta V}{V}=0+\frac{3\Delta R}{R}\] |
| Accordingly, \[\frac{\Delta R}{R}=2%\] |
| Thus, \[\frac{\Delta V}{V}=3\times 2%=6%\] |
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