The equation describing the water height h in a spherical tank with a drain at the bottom is (2rh - h2) dh/dt = -CdAo(2gh) Suppose

The equation describing the water height h in a spherical tank with a drain at the bottom is
π(2rh - h2) dh/dt = -CdAo√(2gh)
Suppose the tank's radius is r = 3 m and that the circular drain hole has a radius of 2 cm. Assume that Cd = 0.5, and that the initial water height is h(0) = 5 m. Use g = 9.81 m/s2.
a. Use an approximation to estimate how long it takes for the tank to empty.
b. Use MATLAB to solve the nonlinear equation and plot the water height as a function of time until h(t) is not quite zero.