You are designing a spherical tank to hold water for a small village in a developing country. The volume of the tank can be computed as 3R - h V, where V is the volume (m³), h is the depth of water in the tank (m), and R is the tank radius (m).
If R = 3, what depth must the tank be filled to in order to hold 30 m³ of water?
Using the bisection method, starting with the interval h [0, 2R], compute by hand the first 3 iterations.