Question

The error in the measurement of the radius of a sphere is $0.6$%. What is permissible error in its volume?

• A. 0.6%
• B. 1%
• C. 1.2%
• D. 1.8%

Answer 1

The correct option is D 1.8%

$V=\frac{4}{3}\pi r^3$

$\frac{\Delta V}{V}\times 100=\frac{3\Delta r}{r}\times 100=3\left(0.6\right)=1.8$