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 $=3\times \frac{\Delta r}{r}$
$=(3\times 0.3)\%=0.9\%$