Two pools A and B have exactly the same depth, but A has 10 times the surface area, both at the top and at the bottom. Find the ratio of the total pressure (a) at the top surface of A to that at the top surface of B
(b)at the bottom of A to that at the bottom of B.
P=F/a or P=pgh
The Attempt at a Solution
For a, since they're at the surface they both have a pressure = atmospheric pressure so the ratio is 1?
For b, since they're at the same depth, they have the same pressure because even if the area of A is 10 times the area of B, that means there's a force of about 10 times as big acting on the area as well so the pressure is the same. Is my reasoning correct? I don't see how the area affects part a? I mean the force and area at the surface for both will change in a way that their pressure will equal the atmospheric pressure. Do I need to consider atmospheric pressure in b as well? Even then, the ratio would be 1?