Search results for At 11am water starts to flow into a cylinder storage tank that is 8 feet in diameter and12 feet high. If the water is coming into the tank at a rate of 600 cubic feet per hour, at approximately what time will it begin to overflow
Volume of tank is: V = pi.(D^2)/4 * H
where D = 8 ft
H = 12 ft
V = pi(64)/4 * 12 = 192.pi cu ft
Flow rate is 600 cu ft/hr = 10 cu ft/min
Time to fill tank is: Volume / Flow rate = 192.pi cu ft / 10 cu ft/min = 19.2.pi mins
Time = 19.2.pi = 60.316 mins = 60 mins 19 secs
Tank will overflow at 12.00 noon approx.