How does pressure at the bottom container depend on the container shake in the fluid height?

The pressure at the bottom of a container filled with fluid depends primarily on the height of the fluid column above it, as described by the hydrostatic pressure equation ( P = \rho g h ), where ( P ) is the pressure, ( \rho ) is the fluid density, ( g ) is the acceleration due to gravity, and ( h ) is the height of the fluid. When the container is shaken, the fluid may temporarily redistribute, causing fluctuations in height and varying pressure at the bottom. However, once the fluid stabilizes, the pressure will ultimately depend on the average fluid height regardless of the shaking.