A solid, homogeneous sphere with a mass of m0, a radius of r0and a density of Ï0 is placed in a container of water. Initiallythe sphere floats and the water level is marked on the side of thecontainer. What happens to the water level, when the originalsphere is replaced with a new sphere which has different physicalparameters? Notation: r means the water level rises in thecontainer, f means falls, s means stays the same.
a) r / f / s
The new sphere has a radius of r < r0 and adensity of Ï = Ï0.
The new sphere has a density of Ï = Ï0 and a mass of m< m0.
The new sphere has a mass of m = m0 and a density of Ï< Ï0.
b) r / f / s / r or s / f or s
The new sphere has a density of Ï > Ï0 and a massof m = m0.
The new sphere has a density of Ï > Ï0 and aradius of r = r0.
The new sphere has a mass of m > m0 and a radiusof r = r0.
c) r / f / s / r or s / f or s / r or f or s
The new sphere has a mass of m < m0 and a densityof Ï > Ï0.
The new sphere has a mass of m < m0 and a radiusof r > r0.
The new sphere has a radius of r < r0 and adensity of Ï > Ï0.
