Problem $1(50\%)$

Two empty tanks of the same size $($Area $=5m^2,$ Height $=10m)$ are arranged as shown below. Each tank contains hole of $3cm$ diameter. If the valve is suddenly opened such that the flow rate is $100\frac{L}{m}in.$

Calculate the height of each tank as a function of time.

What is the steady state level in each tank?

$3-$ Do you expect any of the tanks to overflow?