A small solid sphere of mass M0, of radius R0, and of uniform density ρ0is 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.

Answers are (R,F,U, R or U, F or U, R or F or U)

• The new sphere has mass M < M0 and density ρ = ρ0
• The new sphere has mass M = M0 and radius R > R0
• The new sphere has mass M = M0 and radius R < R0
• The new sphere has mass M > M0 and density ρ = ρ0
• The new sphere has radius R = R0 and density ρ > ρ0
• The new sphere has radius R > R0 and density ρ < ρ0