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A cylinder tank of base area A has a sma...

A cylinder tank of base area A has a small hole of areal a at the bottom. At time `t=0`, a tap starts to supply water into the tank at a constant rate `alpha m^(3)//s`.
(a) What is the maximum level of water `h_(max)`in the tank?
(b) find the time when level of water becomes `h(lt h_(max))`.

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