The volume of liquid, $V,$ in a partially filled, horizontal, cylindrical tank of radius $r$ and length $L$ is

related to the depth of the liquid, $h,$ at the center line of the cylinder by the formula

$V=[r^{2}co{s}^{-1}(\frac{r-h}{r})-(r-h)\sqrt[\phantom{2}]{2rh-h^2}]*L$

Develop a Python function to create a plot of liquid volume versus depth. Here are the first few lines: