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

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.

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

Explanation / Answer

part 1 ) no change , beacuse size is increasing but density is decreasing

part 2 ) mass is increasing RISE

part 3 ) Unchanged mass is nit changing

part 4 ) Rise mass increasing

part 5 ) Unchanged mass is not changing

part 6 ) fall mass is decreasing

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