I'm pretty confused by both questions and the previous answer.
If you look at the surface between some water and air, say in a lake, it's not getting pushed either way. The net force on it is zero. That means that the pressure pushing up from the water has to exactly equal the pressure pushing down from the air. (The surface doesn't supply any 'surface tension' force unless it's bulging one way or the other.)
What happens if you look above or below the surface? The pressure difference between the bottom and top of some region has to be big enough to counteract the force of gravity, otherwise the fluid would fall. Air isn't very dense, it doesn't weigh much per volume. So the pressure falls off slowly as you go up. You have to go up a few kilometers before it drops to half the surface value. Water is much denser, so the pressure goes up faster as you go down. At 10 meters below the surface, the pressure is already about twice the surface pressure.
The closed bottle example is trickier because there are two different air pressures involved, above the water in the bottle and outside the bottle. Even the open bottle example is tricky because there are different water pressures, ranging from the same as air pressure (at the top) to a little higher (at the bottom).
(published on 06/17/2009)