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