I have a thought experiment.
Suppose you have 3 layers of liquid resting on each other in a beaker. A long cylinder of some material is placed in the beaker so that it passes through all layers of liquid. My question is if the middle layer of liquid exerts a buoyancy force on the cylinder.
My guess is that it wouldn't because the cylinder doesn't have an upper and lower surface exposed to the middle liquid layer since it passes through the middle layer. So it can't experience a force caused by the pressure difference.
On the contrary, according to Archimedes principle, there should be a force on the cylinder exerted by the middle layer since the cylinder displaces liquid of the middle layer.
So what would be the correct answer?