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Problem points$)$:

Let's say you have two tanks, connected by a manometer. One tank has oilf floating on top of water, where the height of the oil is currently unknown, denoted as $h,$ and the height of the water below it is $2$ m $.$ The second tank has water in the bottom, and air is trapped in the top. If the pressure of the air, trapped in the cylinder is known to be $40$ kPa $,$ what is the height of the oil? Let $p_{\text{o}\text{l}\text{l}}=900k\frac{g}{m^3}$ and $p_{\text{w}\text{a}\text{n}\text{e}\text{e}\text{r}}=1000k\frac{g}{m^3}.$

Solution:

Solve problem and show work on paper please.