A large water tank is completely sealed, except for a very long, very narrow tube that emerges at the bottom of the tank. The tube has radius r and length L. The water level inside the tank is at a height it above the bottom of the tank. loomed In View a) [10 pts] Although the narrow tube is open, you observe that water does not ow out of the tube. Instead there is a hemispherical meniscus in the tube, with a radius r (same as the tube's radius). Find an expression for the gas pressure Pin inside the top of the tank. Your expression could depend on h, r, ,0, y, atmospheric pressure Patm, and other relevant physical constants. Idkb] "" tube radius r 3 Him: Consider the pressure change across the hemispherical meniscus. b) [10 pts] You open the top ofthe tank, allowing the pressure there to equalize with the atmospheric pressure. Now water starts owing very slowly out of the very long and very narrow tube. Find an expression for the flow rate Q through the tube. Your answer could depend on k, L, r, ,0 (density), 7;: (Viscosity), atmospheric pressure Farm, and other relevant physical constants.