A student measures the radius r of a sphere with an absolute uncertainty Δr. What is the fractional uncertainty in the volume of the sphere?

A.     \({\left( {\frac{{\Delta r}}{r}} \right)^3}\)

B.     \(3\frac{{\Delta r}}{r}\)

C.     \(4\pi \frac{{\Delta r}}{r}\)

D.     \(4\pi {\left( {\frac{{\Delta r}}{r}} \right)^3}\)

B