A cylindrical tank, of diameter \(D=50 \mathrm{~mm}\), drains through an opening, \(d=5 \mathrm{~mm}\)., in the bottom of the tank. The speed of the liquid leaving the tank is approximately \(V=\sqrt{2 g y}\) where \(y\) is the height from the tank bottom to the free surface. If the tank is initially filled with water to \(y_{0}=0.4 \mathrm{~m}\), determine the water depths at \(t=60 \mathrm{sec}, t=120 \mathrm{sec}\), and \(t=180 \mathrm{sec}\). Plot \(y(\mathrm{~m})\) versus \(t\) for the first \(180 \mathrm{sec}\).