(Solved): Consider the following three-liquid system. The height of the liquid columns are \( a=29 \mathrm{~ ...

Consider the following three-liquid system. The height of the liquid columns are \( a=29 \mathrm{~cm}, b=8 \mathrm{~cm} \), and \( c=4.93 \mathrm{~cm} \), respectively. The density of water is \( 9790 \mathrm{~N} / \mathrm{m}^{3} \) and that of mercury is \( 133100 \mathrm{~N} / \mathrm{m}^{3} \). Neglect the air density and determine the height of the column \( h_{1} \). The height of the liquid column, \( \mathrm{h}_{1}= \) cm.