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A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is...

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Physics

A small solid sphere of mass M0, of radiusR0, and of uniform density ρ0 is placed in alarge bowl containing water. It floats and the level of the waterin the dish is L. Given the information below, determine thepossible effects on the water level L, (R-Rises, F-Falls,U-Unchanged), when that sphere is replaced by a new solid sphere ofuniform density.


The new sphere has mass M = M0 and radius R >R0
The new sphere has radius R = R0 and density ρ >ρ0
The new sphere has radius R < R0 and mass M =M0
The new sphere has mass M < M0 and density ρ =ρ0
The new sphere has density ρ < ρ0 and radius R >R0
The new sphere has density ρ = ρ0 and mass M >M0

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