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## Homework Statement

Derive the scaling law for static buoyancy force of a solid sphere in a liquid with a density of γ.

Assume the sphere is made of a material with a density of γs (γs< γ).

## Homework Equations

## The Attempt at a Solution

I calculated the the buoyancy force of the sphere as

F=(pi/6)*d^3*γ*g, where F=buoyancy force, d=sphere diameter. NOw can anybody tell me what is scaling law?how to derive it?