Error in volume of a sphere is 6 %. Error in its radius will be .… - Vidyadip

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
$V\,\, = \,\,\frac{4}{3}\pi {r^3}\, \Rightarrow \,\,\frac{{\Delta V}}{V} = \frac{{3\Delta r}}{r} \Rightarrow \frac{{\Delta r}}{r} = 2$

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