A small solid sphere of mass M_0, of radius R_0, and of uniform density po is pl

Question

A small solid sphere of mass M_0, of radius R_0, and of uniform density po 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. Read it to me The new sphere has density rho > rho_0 and mass M = M_0 The new sphere has density rho = rho_0 and radius R > R_0 The new sphere has radius R = R_0 and density rho > rho_0 The new sphere has density rho = rho_0 and radius R

Explanation / Answer

1) R (it would sink increasing water level)

2) R (larger radius displaces more water)

3) R or U (if the density is lower it would be unchanged, but it could rise)

4) F (small radius displaces less water)

5) F (it will float displaces less water)

6) R or F or U (it could sink or float or not change it at all)

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