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Ha. Trick question! All of them are already full of air, and niether the flow rate nor the direction (or lack) of gravity was specified anyway. You lose. :)

OH İTS THE FUCKİNG LOSS COMİC

I hate you so much right now. Also I think it's 5

5

Also, you suck.

1. 5 which begins to overflow into the room
2. 7
3. 4 and 6
4. 2 and 3
5. 1

This is assuming this is a cross section of something 3d and not something 2d otherwise air packets would get trapped and prevent some of this.

5, but it also depends on the circumstances. What liquid is used, temperature, viscosity, etc. There's some material science stuff that's far beyond the intended scope of this question.

None. The water is not running.

Unless I completely misunderstand how this works, I think 5 is the only one that will fill up. It then overflows, preventing any of the taller ones from filling. 7 is shallower but won't start filling until 3 gets fuller than 5, which it never will. This would be true whether the blockage between 2 and 3 is a mistake or not.

All I know is, 7 is leaking out.

Depends on how much you turn on the tap. If you fürn it up completely its 1,else its 5.

They are all full already, of air.

5

Wait... Fuck!

1 fills up first. the spigot is much winder than the tube so the glass will fill faster than it can drain.

Also rule

I actually started to figure out the sequence...then I realized...fuck you, take my up vote

All of them are already full of air.

5 will be the only one that will ever fill up unless you really crank up the pressure in which case 7 will also fill but very slowly. 5 and 7 are open containers and there's a hole in the bottom of 4. But if it's water coming out of a tap then only 5 will fill .

~~:.|:;~~

i hate you.

edit: read replies before telling me that 7 is walled off

but ignoring my loss, if everything is pressurized i think 7 if unpressurized i think 5

I'd recognise that pattern anywhere, but I focused in on the problem and almost didn't notice your dasterdly deed

Wouldn't scale and viscosity play a role? Seriously, imagine a river vs a capillary tube. Also how many dimensions? And forces involved? Is that a blockage between 2 and 3? Are the walls breakable? How will the fluid hold air? Are the lines into structure 5 lower than the walls? Is this in a vacuum?

1