Assume that, using our CE$3603$ Fluid Mechanics knowledge, we designed a cylindrical water storage tank that will fill up to a maximum depth $(h)$ and will not exceed this depth if the volume flow rate into the tank is constant $($see the schematic$).$ The cylindrical tank has a diameter of $0\mathrm{.}5m$ and has two circular outlets, one outlet at the bottom and the other outlet at $0\mathrm{.}25m$ above the bottom. The diameters of both of the outlets are $5cm.[$density of water, ${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1000k\frac{g}{m^3}$; and gravity acts downward in the schematic; atmospheric pressure outside the tank$]$

If we start filling this tank with water using a $10cm$ diameter pipe that provides water at a flow speed of $1\frac{m}{s},$ what will be the maximum water depth $(h)$ in the tank?