Question

The error in the measurement of radius of sphere is $0.3\%$, what is percentage error in the measurement of its volume?

• A. $0.3\%$
• B. $0.6\%$
• C. $0.9\%$
• D. $ \frac{4}{3}\pi (0.3)^{3}$

Answer 1

Answer: (C)

Error in radius, $\frac{\Delta r}{r}=0.3 \%$
Volume of sphere $=\frac{4}{3} \pi r^{3}$
$\therefore $ Error in volume $=3 \times \frac{\Delta r}{r}$
$=(3 \times 0.3) \%=0.9 \%$