Acylindrical bucket of dia d = 1 m, height h = 5 m is initially empty. it is being filled with water flow from the top at a rate of q = 1 m3/s. the bottom of the bucket has many small openings. the flow through each opening is q = 0.01 m3/s. the openings are activated at a constant rate of n = 10 per sec by turning a lever. initially all the openings are shut. the lever to open the holes is activated at t = 1 sec after the inlet flow of water has been started.
(a) what is the maximum height of water in the bucket and at what time does it occur? b) will water in the bucket ever rise to a level of 1 m?