Problem 7. A 2000 liter tank is empty at t = 0, water is then pumped into the tank at a rate given by r(t) = 3√t, where t is measured

in minutes. (a) How much water flows into the tank in the first hour? (b) Find the function that gives the amount of water in the tank at any time t > 0. (c) At what time will the tank be full?