Answer to Question #52140 in Physics for john

Question

1/ (10 pts) A hollow sphere with an inner radius R and outer radius 2R is made of material of density D and is floating in a liquid of density 2D. The interior is now filled with material of density D’ so that the sphere just floats completely submerged. Find D’ in terms of D.
2/ (30 pts) A column of mercury of 10 cm length is contained in the middle of a narrow horizontal 1 m long tube which is closed at both the ends. Both the halves of the tube contain air at a pressure of 76 cm of mercury. By what distance will the column of mercury be displaced if the tube is held vertically?