Two cylinders are filled with water to the same height, but have different radii

Question

Two cylinders are filled with water to the same height, but have different radii. The pressures on the bottoms of the cylinders are the same. The gauge pressure at the bottom of a cylinder filled with liquid is Pg=1.0 atm. The liquid is poured into another cylinder having twice the radius. The gauge pressure at the bottom of that cylinder is Pg=0.5 atm. Three objects are floating in a fluid, as shown below. The densities of the objects take the order C > B > A. Water expands when heated (at least above 4 degree C). A beaker of water is heated from 10 degree C to 30 degree C. The pressure at the bottom of the beaker decreases.

Explanation / Answer

1) False

2) False

3) False (C > B = A)

4) False (same mass of water, same area

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