A garden hose attached 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...

A garden hose attached 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 (density; use
same value as in Q#1), determine
(a) Mass flow rates of water through the hose
(b) Average velocity of water at the nozzle exit.