A small solid sphere of mass M 0 , of radius R 0 , and of uniform density ? 0 is

Question

A small solid sphere of mass M0, of radius R0, and of uniform density ?0is 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.

RFUR or UF or UR or F or UThe new sphere has mass M = M0and radius R < R0
RFUR or UF or UR or F or UThe new sphere has density ? = ?0and mass M > M0
RFUR or UF or UR or F or UThe new sphere has density ? < ?0and mass M = M0
RFUR or UF or UR or F or UThe new sphere has density ? = ?0and radius R < R0
RFUR or UF or UR or F or UThe new sphere has radius R = R0and mass M < M0
RFUR or UF or UR or F or UThe new sphere has radius R < R0and density ? > ?0

Explanation / Answer

1) R-Rises
2) R-Rises
3) R-Rises
4) F-Falls
5) Rise or Fall( depends on the values of density and radius)
6) F-Falls

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