This question was originally inspired by this one:
In it, the author mentions a really tall solid column (extending all the way up into space) whose base has an area of $1$ square inch, and which weighs $14.7$ pounds, which is equal to the pressure near the surface of the earth.
My question is this: would such a column...float?
After all, the weight of the column is $14.7$ pounds, its base has an area of $1$ square inch, and the pressure from the air at its base is $14.7$ pounds per square inch.
So, would the pressure from the air at its base balance out the weight of the column?
I'm assuming the pressure doesn't change once we put a solid column on top of some air. I don't know much about fluids yet, but this assumption may be incorrect...