Weight distribution in water occurs through pressure, which is calculated by dividing the object's weight by its base area. This pressure is added to the existing water pressure at that depth, resulting in a uniform increase in pressure throughout the water beneath the object. In the case of an unevenly balanced piston, pressure variations occur directly beneath the piston but are equalized at any given depth in the water. An analogy is provided with a swimmer passing under a battleship, illustrating that the pressure felt is consistent and does not vary based on the weight distribution above. Overall, pressure in water is uniformly distributed at any depth, regardless of the weight distribution on the surface.