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 ?0 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.
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R F U R or U F or U R or F or U  The new sphere has density ? = ?0 and mass M < M0
R F U R or U F or U R or F or U  The new sphere has radius R > R0 and density ? < ?0
R F U R or U F or U R or F or U  The new sphere has radius R = R0 and density ? < ?0
R F U R or U F or U R or F or U  The new sphere has density ? = ?0 and mass M > M0
R F U R or U F or U R or F or U  The new sphere has radius R < R0 and mass M = M0
R F U R or U F or U R or F or U  The new sphere has density ? < ?0 and mass M = M0

Explanation / Answer

from archmedise principles.

bouancy force=weight of the fluid displaced by body

i.e. Bouancy force large ,body goes up and level of water level goes down and vise a versa

weight of fluid displaced=volume of sphere under fluid*density of fluid

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