A solid cylinder of uniform density of 0.85 g/cm3 floats in a glass of water tin

Question

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.

For each of the statements, pick either no change, increase, or decrease

A liquid with a density of 0.76 g/cm3 is poured into the glass.

A liquid with a density of 1.06 g/cm3 is poured into the glass.

More tinted water is added to 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.

The cylinder is replaced with one that has the same height and diameter, but with density of 0.89 g/cm3.

Explanation / Answer

for floationg mg = buoyancy force

mg = rho*v*g

1 ) decrease

2 ) increase

3 ) no change

4 ) increase

5 ) no change

6 ) increase

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