# Water Level Concept

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1. Jul 30, 2015

### Jason Domino

1. The problem statement, all variables and given/known data
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.

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 density ρ = ρ0 and radius R < R0
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 mass M = M0 and density ρ > ρ0

2. Relevant equations
I know Mass=density*volume

3. The attempt at a solution
My most recent attempt, several other combinations tried.
(R or F or U) The new sphere has radius R < R0 and density ρ > ρ0
( F or U) The new sphere has radius R = R0 and mass M < M0
( F ) The new sphere has density ρ = ρ0 and radius R < R0
( R ) The new sphere has mass M > M0 and density ρ = ρ0
( U ) The new sphere has mass M = M0 and density ρ < ρ0
( U ) The new sphere has mass M = M0 and density ρ > ρ0

2. Jul 30, 2015

### Jason Domino

How can that other guy get 87 views and 12 replies in a moment, when i posted 12 minutes ago with not even a view!

3. Jul 31, 2015

### haruspex

Please explain why you think the second one could be either F or U.