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A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density...

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Physics

A solid, homogeneous sphere with a mass of m0, aradius of r0 and a density of ρ0 is placed ina container of water. Initially the sphere floats and the waterlevel is marked on the side of the container. What happens to thewater level, when the original sphere is replaced with a new spherewhich has different physical parameters? Notation: r means thewater level rises in the container, f means falls, s means staysthe same. Combination answers like 'f or s' are possible answers insome of the cases.

1. The new sphere has a radius of r > r0 and adensity of ρ = ρ0.
2. The new sphere has a mass of m < m0 and a densityof ρ = ρ0.
3. The new sphere has a mass of m = m0 and a radius of r> r0.

4. The new sphere has a density of ρ < ρ0 and aradius of r = r0.
5. The new sphere has a mass of m = m0 and a radius of r< r0.
6. The new sphere has a radius of r = r0 and a mass of m< m0.

7. The new sphere has a mass of m > m0 and adensity of ρ < ρ0.
8. The new sphere has a density of ρ < ρ0 and aradius of r > r0.
9. The new sphere has a mass of m < m0 and a radiusof r > r0.

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