A reservoir with a length of 20 km and width of 3 km has a flood inflow of 1000 m^3/s.
(a) If exit flow is restricted to 500 m^3/s, how fast is the water level rising in the reservoir per day?
(b) If the exit flow is a spillway that follows the formula for flow over a weir, set up the mass balance equation that governs the rise of water.
(c) Will water levels rise at the same rate as in (a), at a lesser rate, or a greater rate? What three additional pieces of information would we need to solve the problem?