A 10-ft diameter by 15-ft height vertical tank is receiving water through a 6-in (ID) pipe with a constant speed of 5 ft/sec and is discharging at the rate of 300 gpm. At a given instant, the tank is half-full. Determine (a) the water change in stored mass in tank and (b) the time required to fill or empty the tank.

A 10-ft diameter by 15-ft height vertical tank is receiving water through a 6-in (ID) pipe with a constant speed of 5 ft/sec and is discharging at the rate of 300 gpm. At a given instant, the tank is half-full. Determine (a) the water change in stored mass in tank and (b) the time required to fill or empty the tank.