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Q: A partially full beer bottle with interior diameter 52 mm is floating upright in water, as shown below. A drinker takes a swig and replaces the bottle in the water, where it not floats 28 mm higher than before. How much (mass) beer did the drinker drink?

The diagrams are simple. The first one depicts a beer bottle floating in water, while the second one portrays the same beer bottle (but with less liquid inside) floating higher in the same amount of water. It is less submerged.

A: 59g

Now, I've determined certain things myself.

The forces acting on the bottle are Fg (gravity), Fa (opposes gravity). Fg can be calculated by doing Fg = mass of the bottle x gravity, however, we don't know the mass of the bottle. Fg can also be calculated by doing, density of the bottle x surface area of the bottle x gravity.

After this, I get somewhat stuck. It's as if there are missing certain values. If anyone can help me solve this problem, it would be greatly appreciated

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# Homework Help: Buoyancy - how much does this person drink?

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