Question

A small solid sphere of mass M0, of radius R0, and of uniformdensity ?0 is placed in a large bowl containing water. It floatsand the level of the water in the dish is L. Given the informationbelow, determine the possible effects on the water level L,(R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by anew solid sphere of uniform density.
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1. The new sphere has radius R = R0 and mass M < M0
2. The new sphere has radius R < R0 and density ? > ?0
3. The new sphere has density ? = ?0 and radius R > R0
4. The new sphere has radius R < R0 and mass M = M0
5. The new sphere has density ? = ?0 and radius R < R0
6. The new sphere has mass M = M0 and radius R > R0

Answers can be rise (R), fall (F), unchanged (U), rise or unchanged(R or U),
fall or unchanged (F or U), rise or fall or unchanged (R or F orU).