A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tinted light blue by food coloring.
Its circular surfaces are horizontal. What effect will the following changes, each made to the initial system, have on X, the height of the upper surface above the water? The liquids added do not mix with the water, and the cylinder never hits the bottom. The cylinder is replaced with one that has the same height and diameter, but with density of 0.83 g/cm3.
Some of the water is removed from the glass.
A liquid with a density of 1.06 g/cm3 is poured into the glass.
The cylinder is replaced with one that has the same density and height, but 1.5× the diameter.
The cylinder is replaced with one that has the same density and diameter, but with half the height.
A liquid with a density of 0.76 g/cm3 is poured into the glass.
The Attempt at a Solution