A garden hose attached with a nozzle is used to fill a 10-gallon bucket. The inner diameter of the hose is 2 cm, and it reduces to 0.8 cm at the nozzle exit. If it takes 50 s to fill the bucket with water, determine a) the volume and mass flow rates of water through the hose, b) the mean velocity of the water at the nozzle exit, and c) the mean velocity of the water in the hose. You can assume the water to be incompressible with a density of 1000 kg/m3.