A solid cylinder of uniform density of 0.85 g/cm^3 floats in a glass of water ti

Question

A solid cylinder of uniform density of 0.85 g/cm^3 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/cm^3 A liquid with a density of 1.06 g/cm^3 is poured into the glass. Some of the water is removed from the glass. The cylinder is replaced with one that has the same density and height, but 1.5 times the diameter. A liquid with a density of 0.76 g/cm^3 is poured into the glass.

Explanation / Answer

1) increases

2) decreases

3) increases

4) no change

5) no change

6) increases.

As the density of the object decreases, its weight also decreases.
so, buoyant force must decrease. so, x values increases.

As the height of the cyllinder decreases its mass decreases.
its weight also decreases.
so, buoyant force must increase. so, x values decreases.

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