Three balls of the same mass were placed in a vessel with water: pine, aluminum and iron.

Three balls of the same mass were placed in a vessel with water: pine, aluminum and iron. Which of the balls is affected by the largest and smallest Archimedes force? ρ1 = 400 kg / m3, ρ2 = 2700 kg / m3, ρ3 = 7800 kg / m3.

The force of Archimedes is equal to the weight of water displaced by a body placed in a liquid and is equal to:
F = ρ * V * g,
where
ρ is the density of water,
V is the volume of displaced water,
g is the acceleration of gravity;
Since balls of aluminum and iron are completely immersed in water, they displace the same amount of water and the forces of Archimedes acting on them are equal. A pine ball is partially submerged in water and displaces water with a smaller volume.
This means that the smallest force of Archimedes acts on the pine ball, and the largest force of Archimedes acts on the balls of aluminum and iron.