$$\rho = \frac{m}{V}$$

$$\log{\rho = \log\frac{m}{V}}$$

logp = logm − logV

logp = logm + logV

$$\Delta\rho = \left( \left| \frac{\Delta m}{m} \right| + \left| \frac{\Delta V}{V} \right| \right)\rho$$

$$V = \frac{\pi}{4}\left\lbrack \left| {D1}^{2} - {D2}^{2} \right|H1 + \left| {D2}^{2} - {D3}^{2} \right|H2 + \left| 2*H1*D1 \right|D1 + \left| 2*H2*D2 - 2*H1*D2 \right|D2 + \left| 2*H2*D3 \right|D3 \right\rbrack$$