Oil (v = 1E–4 m 2 /s), enters an open tank at a steady rate of 2 m 3 /min and leaves through a 25 m.

Oil (v = 1E–4 m2 /s), enters an open tank at a
steady rate of 2 m3 /min and leaves through a 25 m long pipe. The
Tank has a constant cross sectional area of 3 m2 and the pipe has an
inside diameter of 15 cm. At steady state conditions, the exit pressure is 2 m
of oil. While the inlet flow remains constant, we increase the exit pressure
linearly to 4 m of oil in 5 minutes. Find the tank oil level at 5 minutes,
i.e., when hCo = 4 meters.