The density of a liquid is to be determined by an old 1-cm-diameter cylindrical hydrometer whose division marks are completely wiped out. The hydrometer is first dropped in water, and the water level is marked. The hydrometer is then dropped into the other liquid, and it is observed that the mark for water has risen 0.12 cm ($h_w$) above the liquid-air interface. If the height of the original water mark is 12.3 cm ($h_l$), determine the density of the liquid. Take the density of pure water to be 1000 kg/m$^3$. The density of the liquid is kg/m$^3$.