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 reasonable estimate of the percentage uncertainty in her calculated value of $\rho$?
- A1.9%
- B2.0%
- C2.8%
- D3.7%