$2.$ 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

$212$ cos $2$ r h V r r h rh h L

r

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

import numpy as np

def cyltank$($r$,$L$,$plot$\_$title$)$:

$"""$

create a plot of the volume of liquid

in a horizontal, cylindrical tank

from empty to full tank

inputs:

r $=$ inside radius of tank

L $=$ length

plot$\_$title $=$ string for title of plot

$"""$

Test your program with

cyltank$(3,5,$'Volume vs$.$Depth for Horizontal Cylindrical Tank'$)$