A flavored syrup is mixed with water in a mixing unit. Water and syrup are flowing with a speed of 2 m/s into the mixing unit through circular pipes of cross-sectional area 9 cm^2 and 2 cm^2 respectively. The homogeneous mixture of water and syrup has a density of 1200 kg/m^3. It exits the mixing unit with a speed of 1.25 m/s through a circular pipe of 16 cm^2 and is poured into a tank with a base area of 6 m^2, as shown in Figure 3.
i. Assuming that the mass of fluids inside the mixing unit remains constant, determine the density of the syrup. (4 marks)
ii. If the tank is initially empty, determine the depth h of the water-syrup mixture in the tank after 5 hours. (6 marks)
(Total for question: 20 marks)