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. v| The cylinder is replaced with one that has the same height and diameter, but with density of 0.83 g/cm3. A liquid with a density of 0.76 g/cm? is poured into the glass. v | The cylinder is replaced with one that has the same density and height, but 1.5% the diameter. v| Some of the water is removed from the glass. v | The cylinder is replaced with one that has the same density and diameter, but with half the height. A liquid with a density of 1.06 g/cm? is poured into the glass. ~ 5 _ ~ = - - - . A solid, homogeneous sphere with a mass of my, a radius of ry and a density of p( is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. | v|The new sphere has a density of p = p( and a mass of m > my. | v| The new sphere has a density of p = p( and a radius of r p( and a radius of r = ry. v| The new sphere has a mass of m