A conical flask contains water to height \(H=36.8 \mathrm{~mm}\), where the flask diameter is \(D=29.4 \mathrm{~mm}\). Water drains out through a smoothly rounded hole of diameter \(d=7.35 \mathrm{~mm}\) at the apex of the cone. The flow speed at the exit is \(V=\sqrt{2 g y}\), where \(y\) is the height of the liquid free surface above the hole. A stream of water flows into the top of the flask at constant volume flow rate, \(Q=3.75 \times 10^{-7} \mathrm{~m}^{3} / \mathrm{hr}\). Find the volume flow rate from the bottom of the flask. Evaluate the direction and rate of change of water surface level in the flask at this instant.