Buoyancy in air-filled and vacuum bottles is influenced by the density of air and the volume of the bottle, which determines the mass difference and thus the buoyancy support. The upthrust experienced by both types of bottles remains the same, as buoyancy force is solely dependent on the fluid displaced, not the contents of the bottle. The discussion raises a question about whether the buoyancy force refers to the bottle itself or an object inside it. In a vacuum, there is no fluid to displace, which raises questions about the concept of buoyancy in that context. Understanding these principles clarifies how buoyancy operates in different scenarios.