How does the Archimedean force depend on the volume of the body?

The buoyancy force of Archimedes is determined by the formula: Farch = ρ * g * V.
Where ρ is the density of the fluid in which the body is immersed, g is the acceleration of gravity, V is the volume of the immersed part of the body in the fluid.
We see that the buoyancy force of Archimedes is directly proportional to the volume of the immersed part of the body in the liquid.
This means that by how many times the volume of the immersed part of the body in the liquid is increased, the force of Archimedes will also increase by so many times.
By how many times the volume of the immersed part of the body in the liquid is reduced, the force of Archimedes will also decrease by so many times.



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