Question

The error in the measurement of radius of a sphere is $0.1\%$ The error in the measurement of volume is

• A. $0.5\%$
• B. $0.8\%$
• C. $0.1\%$
• D. $0.3\%$

Answer 1

Answer: (D)

$0.3\%$

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

$dV=3\frac{4}{3}\pi R^{2}dR$

$\frac{dV}{V}=3\frac{dR}{R}$

$=0.3\%$