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I really need a help with this exercise:

To solve it, I have supposed that ##h_{0}, h_{1}## are the heights of the upper and lower liquids, so I have this equation:

$$SG \cdot \alpha \cdot g \cdot h_{0} + \rho \cdot g \cdot h_{1} = P,$$

where ##\alpha = 1000\,kg/m^3##, ##g = 9.8\, m/s^2## and ##P## is the pressure at the bottom of the container. But I don't know how to proceed from this point. Converting units is not a problem for me. Any hint or help is welcome.

A ##1.75##-m-high container has two immiscible liquids stacked on top of each other. The upper liquid has specific gravity ##SG = 0.45## and the other has density ##\rho = 61.78\, lbf/ft^3##. If the pressure exerted by the lower liquid at the bottom is ##16.35## psi, find the height of the upper liquid in the container.

To solve it, I have supposed that ##h_{0}, h_{1}## are the heights of the upper and lower liquids, so I have this equation:

$$SG \cdot \alpha \cdot g \cdot h_{0} + \rho \cdot g \cdot h_{1} = P,$$

where ##\alpha = 1000\,kg/m^3##, ##g = 9.8\, m/s^2## and ##P## is the pressure at the bottom of the container. But I don't know how to proceed from this point. Converting units is not a problem for me. Any hint or help is welcome.

**[Moderator's note: moved from a technical forum.]**
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