Once full, both three and four will overflow. One and two will never fill, this assumes the flow rate through the escape spouts is low enough to not overcome their capability to dispense the liquid.
No, and yes.
Edit... I did not make this post, or any others at this time...strange.
[This message has been edited by Lambo nut (edited 10-28-2016).]
I still say 3.. but they left out information that I am basing my answer off of.. the left off measurement graduations and where they stop at the top end of the beaker.. but if you go by where the last measurement graduation is on most, #3 fills first.. if you look at as the beaker almost overflowing, that is overfilled.. but they left that measurement graduation out of the formula and photo/chalkboard question
You are doing what some others are doing. Putting way too much into a very simple drawing.
Given how slim the margin is, did you take into account the surface tension of the fluid? #3 could be ever so slightly overfull before it breaks surface tension and runs down the side. That could be enough to make up for the tiny difference between #3 and #4 or are you assuming the fluid is a perfectly straight line?
The photo appears to be a drawing on a chalk board. What is the precision level offered by a drawing utensil the size of a stick of chalk? All arguments have to make assumptions in the absence of explicitly stated info. You're assuming #4 is taller by a fraction that appears to be smaller than the lines used to make the drawing.
I would offer some general assumptions: All beakers are the same size. #1 is higher than #3 & #4. #2 is higher than #3 & #4 but lower than #1. #4 & #3 are at the same height level. All tubes between beakers have the same flow capacity. The flow from the faucet into #1 is less than the flow capacity of the tubes between the beakers. Optional: Assume fluid is water since the drawing appears to be a typical hose bib.
Measure with micrometer. Mark with chalk. Cut with chainsaw.
(an answer cannot be more precise than the data use to reach the conclusion)
Looking at the drawing the faucet is only dripping and not flowing
Dependant on whether the flow rate into #3 overwhelms the tube to #4, both will fill at the same time. They are effectively the same tank due to the configuration of the interconnecting piping. I designed and used setups like this in waste water treatment systems and rinse tank systems in the electroplating industry for decades. If the flow rate into #3 is greater than the flow capacity of the connecting piping, then #3 will fill first.
Water always finds "level". That being said the level of the water in the tube that fills #4 will be at the same level as the water in #3. As such #4 will not begin to fill until the level of the water rises to the top of the fill tube, which in turn will start to fill #4. They are only the "same tank" after the water in #4 reaches the same level as the fill tube (which is the same as the level in #3).
Of course, if the definition of full, is meaning to the brim, then #3 and #4 will fill at the same time, #3 would have filled most of it's content before #4 however; and then fill at the same rate once the water level reaches the top of #4's fill tube.
quote
Originally posted by Lambo nut:
I'll add to my post. Not only will 4 fill first, it will be the only one to fill and overflow.
Kevin
No. See reason posted above (water always find level). #3 and #4 will over fill at the same time.
#2 will never over flow since the top of it is higher than #3 and #4 (same applies to #1)
[This message has been edited by Mickey_Moose (edited 10-28-2016).]
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Just something to do, as I'm bored.. Last week a person was being chased by the police,, high speed, and made the mistake to come up my street that is dead end. Dumped car and ran into the woods/marsh . That was fine, but then police from 5 towns, the sheriff dept, state police, and a few other abc soup dept's are flooding the street, and have 4 k9's out.. and 2 copters over head.. Thought nothing of it, while talking to the neighbors as it was happening.. A few hours after they started leaving and I went inside, sat down and started having flashbacks of the marathon bombing.. and they haven't stopped.. Been paralyzed since,, not in body but in mind.. haven't left the house since.. Heck haven't really left this chair.. Going to a PTSD doctor later today, again.. to see what can be done.. as I passed out getting ready to go to work the other day.. This needs to stop.. I've refused the meds they have wanted me to use.. figuring I'd push through it.. it's now almost 2017 and that listed above sent me back to square one, I may try what they wanted me to try before, as It's killing my wife to watch me get thrown back to this point over and over again.. This needs to stop happening.. as it royally sucks.. wife's worried, work is pissed, I've had enough of this.. depression and PTSD I'd like to kick in the teeth.. Wife's and family has waited long enough for me to fight though this, hoping I was right that I didn't need any help.. pushing past this.. I was wrong.. and Will be talking to My doctor( shrink ) and The one that works with vets with this type thing..
Looking at the drawing the faucet is only dripping and not flowing
And how does that alter the precision of a line drawn with chalk? It's about as relevant as whether you assume it's distilled water or chlorinated tap water.
) and The one that works with vets with this type thing.. 
