Bottomless fish tank pressure brainteaser

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The discussion revolves around a brainteaser involving a fish tank that operates like a pet watering bowl, focusing on the pressure dynamics within the tank. When a hole is made at the top, air rushes in, while a hole at the bottom causes water to rush out. The key point is that water will only leak when the pressure inside the tank is less than the atmospheric pressure outside. It is suggested that a column of water up to 10 meters tall could exist before the tank empties, as long as the pressure dynamics are maintained. Ultimately, surface tension is not a factor in preventing water from leaking if a hole is created at the top.
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Link at the bottom if you do not know what I am talking about. Fish tank that works like pet watering bowl.

If you poked a hole at the top air would go rush in.
If you poked a hole at the bottom water would rush out.

At what point in the tank would water be under so little pressure, the tension would be enough for it to keep from leaking?

http://www.okeanosgroup.com/blog/aquariums/fun-with-physics-bottomless-fish-tanks/

This is a brain teaser but I don't have the answer yet.
 
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I am not sure exactly what you are asking. Surface tension doesn't play a role here. It is all about pressure. The surface of the water outside the pillar-type tank is under atmospheric pressure of 101325 Pa (14.7 psi). At that same level inside the vertical tank, there is no air, so it is only under the pressure from the water above. If it was going to fall down out of the vertical tank and thus raise the surface level outside of the tank, it would have to exert more pressure at the level of the surface than the air does, so conceivably, you could have a column of water up to 10 m tall before the tank would empty itself.

If you poke a hole in the top, no amount of surface tension will save you. That water will fall right out and overflow the bottom tank.
 
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