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

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. Options are Rises, Falls, Unchanged, R or U, F or U, and R or F or U. SERIOUS TUTORS PLEASE

The new sphere has radius R = R0 and mass M < M0

The new sphere has mass M = M0 and radius R < R0

The new sphere has density > 0 and radius R < R0

The new sphere has radius R < R0 and density = 0

The new sphere has density < 0 and mass M = M0

The new sphere has density = 0 and radius R > R0

Explanation / Answer

The new sphere has mass M > M0 and density ? = ?0 R? - Density is same, level UNCHANGED The new sphere has density ? = ?0 and mass M ?0 and mass M = M0 U? - Density is greater, level RISES The new sphere has radius R = R0 and mass M > M0 R? - Volume is same, mass is higher, thus density is higher. Therefore, level RISES. The new sphere has density ? > ?0 and radius R

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