A garden hose with a nozzle is used to fill a 10-gal 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 (m3/s) and mass flow rates (kg/s) of water through the hose, and (b) the average velocity (m/s) of water at the nozzle exit.