Consider a cylinder of base area 'A' containing water of volume 'V'. Let a small pipe of cross sectional area 'a' be attached at the bottom of the cylinder. Then, how does the velocity 'v' of water flowing through the pipe vary? i.e, what would be the instantaneous velocity for a given volume of water.
I thought of this problem after looking at my water filter. I tried deriving a formula, but I was unable to.
P. S This question is not my homework. I was merely intrigued by what I observed on a day to day basis.