Suppose the tank has a vertex angle of 60° and the circular hole has radius 4 inches. Determine the differential equation governing the height h of water. Use c = 0.6 and g = 32 ft/s2. dh dt = Solve the initial value problem that assumes the height of the water is initially 8 feet. h(t) = If the height of the water is initially 8 feet, how long (in minutes) will it take the tank to empty? (Round your answer to two decimal places.)