A uniform solid sphere of radius R and density ρ is placed in a liquid of density σ. The sphere floats with a \fraction of its volume V submerged in the liquid. U\sing the principle of buoyancy, derive an expression for the \fraction of the sphere's volume that is submerged.

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1 - \frac{\rho_{sphere}}{\rho_{liquid}}

Post Utme Nile University 2022 Physics Question 36

A uniform solid sphere of radius R and density ρ is placed in a liquid of density σ. The sphere floats with a \fraction of its volume V submerged in the liquid. U\sing the principle of buoyancy, derive an expression for the \fraction of the sphere's volume that is submerged.

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