A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of 0

Question

A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of 0 is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same.

Select r,f or s for the following statements:

The new sphere has a mass of m = m0 and a density of < 0.
The new sphere has a density of = 0 and a radius of r > r0.
The new sphere has a mass of m > m0 and a density of = 0.

Explanation / Answer

The new sphere has a mass of m = m0 and a density of < 0. f

mass is same so stays same or if the radius is large volume increases so the buoyance force increases so the mark falls down

The new sphere has a density of = 0 and a radius of r > r0. falls down

The new sphere has a mass of m > m0 and a density of = 0. rises

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