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. (1)A liquid with a density of 1.26 g/cm3 is poured into the glass (2)The cylinder is replaced with one that has the same height and diameter, but with density of 0.81 g/cm3. (3)A liquid with a density of 0.51 g/cm3 is poured into the glass. (4)Some of the water is removed from the glass (5)The cylinder is replaced with one that has the same density and diameter, but with twice the height. (6)The cylinder is replaced with one that has the same density and height, but 1.5× the diameter. 3. The attempt at a solution I thought that X would: (1) No change Because the dense liquid falls to the bottom of the container, and X is unaffected. (2) Increase Lighter Density than water, causes increase in X as less displacement (3) Increase The lighter fluid goes on top of both the object and water. The object displaces both water and the fluid, so the buoyant force of the fluid causes and increase in X from the water surface. (4) No Change Nothing is added or removed of importance, so X remains the same. (5) Decrease Volume increases, so water displacement increases, object sinks, and X decreases. (6) Decrease Volume increases, so water displacement increases, object sinks, and X decreases. But that didn't work. I then changed it so (3) Decreases, but that was also wrong. Any help?