Consider a tank with the following configuration as shown in the picture.

$F_0$

Derive the input$-$output model of this system that will describe the transfer function between $h_2^{**}\frac{s}{F_0^{**}}(s)$ and draw the block diagram.

Note: $F_1$ and $F_2$ is assumed to be linear to $h_1$ and $h_2,$ respectively, for simplicity.