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

Question

A solid cylinder of uniform density of 0.85 a/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 No change More tinted water is added to the glass. IncreaseThe cylinder is replaced with one that has the same density and diameter, but with 1.5x the height. No change A liquid with a density of 1.06 g/cm3 is poured into the glass. Decrease The cylinder is replaced with one that has the same height and diameter, but with density of 0.89 q/cm3 Decrease The cylinder is replaced with one that has the same density and height, but 1.5x the diameter. DecreaseA liquid with a density of 0.76 g/cm3 is poured into the glass. Submit Answer Incorrect. Tries 5/12 Previous Tries

Explanation / Answer

Change given in the 5th statement is answered incorrectly.

As density of cylinder remains same, fraction of cylinder, inside water remains same. Fraction of cylinder inside water, f= (h-x)/h , when in vertical position.

Since density and height are same, f and h are same,there is no change in x.

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