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))`.

Answer

[(a) `(alpha^(2))/(2ga^(2))`, (b) `(A)/(ag)[(alpha)/(a)ln{(alpha-asqrt(2gh))/(alpha)}-sqrt(2gh)]`]