A piston having a cross$-$sectional area of $0\mathrm{.}1m^2$ is located in a cylinder containing water as shown in Fig. $5.$ An open U$-$tube manometer is connected to the cylinder as shown. For $h_l=50mm$ and $h=90mm,$ what is the value of the applied force $P$ acting on the piston. The weight of the piston in negligible. ${}_{\text{m}\text{e}\text{r}\text{c}\text{u}\text{r}\text{y}}=133K\frac{N}{m^3}$ and ${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=9\mathrm{.}80K\frac{N}{m^3}.(20$ points$)$

I$\text{'}$S$.$