A student wants to find the density $\rho$ of lead. She records the mass and diameter of a small lead sphere: mass $= (0.506 \pm 0.005)\,\text{g}$ diameter $= (2.20 \pm 0.02)\,\text{mm}$. What is the most suitable estimate of the percentage uncertainty in her calculated value of $\rho$?
- A$1.7\%$
- B$1.9\%$
- C$2.8\%$
- D$3.7\%$