What Effects Will the New Sphere Have on Water Level L?

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SUMMARY

The discussion focuses on the effects of replacing a solid sphere in water with a new sphere of varying dimensions and densities. The original sphere has mass M0, radius R0, and density ρ0. The new sphere scenarios include changes in radius and density, leading to different outcomes for the water level L: unchanged, falls, or rises. The participant concluded that the water level remains unchanged for the same radius and mass, falls for a smaller radius with the same density, and rises for a larger radius with the same mass.

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Homework Statement



A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.
Read it to me
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 mass M > M0 and density ρ = ρ0
The new sphere has radius R = R0 and mass M < M0
The new sphere has radius R < R0 and density ρ = ρ0
The new sphere has radius R < R0 and density ρ > ρ0

Homework Equations




The Attempt at a Solution



I said unchanged, falls/unchanges, rises, falls, falls and then i wasn't sure for the last one. Please Help!
 
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nevermind, got it!
 

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