A student works out the density $\rho$ of steel from measurements made on a steel wire. mass $m = 6.2 \pm 0.1\ \text{g}$ length $l = 25.0 \pm 0.1\ \text{cm}$ diameter $d = 2.00 \pm 0.01\ \text{mm}$ He uses the equation $\rho = \frac{4m}{\pi d^2 l}$. Calculate the percentage uncertainty in his calculated value of density?
- A$1.1\%$
- B$1.8\%$
- C$2.5\%$
- D$3.0\%$