MCQ
Error in volume of a sphere is $6\%$. Error in its radius will be .......... $\%$
- ✓$2$
- B$3$
- C$4$
- D$5$
✓
Answer
Correct option: A.
$2$
a
$V\,\, = \,\,\frac{4}{3}\pi {r^3}\, \Rightarrow \,\,\frac{{\Delta V}}{V} = \frac{{3\Delta r}}{r} \Rightarrow \frac{{\Delta r}}{r} = 2$
$V\,\, = \,\,\frac{4}{3}\pi {r^3}\, \Rightarrow \,\,\frac{{\Delta V}}{V} = \frac{{3\Delta r}}{r} \Rightarrow \frac{{\Delta r}}{r} = 2$
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