Water of equal mass is poured into two different cylindrical vessels. whether the pressure

Water of equal mass is poured into two different cylindrical vessels. whether the pressure on the bottom of the vessel is the same.

The pressures created by water on the bottom of different cylindrical vessels will differ, since the heights of the liquid columns and the cross-sectional area of these vessels are not equal.

Proof: P = ρ * g * h and P = F / S = m * g / S.

1) Pb / hb = ρ * g = Pm / hm and Pb / Pm = hb / hbm <1, since hb <hbm, the height of the liquid column in the larger vessel is less and its pressure on the bottom is less.

2) Pb * Sb = m * g = Pm * Sm and Pb / Pm = Sm / Sb> 1, since Sm> Sb, then the cross-sectional area of the smaller vessel is less and the pressure on its bottom is greater.

Answer: More pressure is created at the bottom of a vessel with a smaller cross-section.