A cylindrical water tank is 4 feet high, with a 3-foot diameter, open to the atmosphere at the top is initially filled with water with a temperature of 60°F. The outlet at the bottom with a diameter of 0.5 in. is opened and the tank empties. The average velocity of the water exiting the tank is given by the equation v =√2gh, where h is the height of the water in the tank measured from the center of the outlet port and g is the gravitational acceleration. Determine: 

(a) How long it will take for the water level in the tank to drop to 2 ft from the bottom, and 

(b) How long it will take to drain the entire tank.