A glass bottle 20 cm tall and 6 cm in diameter is filled to 80 % of its volume. When the bottle is inverted, the water does not spill. Find the height of the water that remains inside the bottle when it is inverted. Assume the water level stays flat and ignore changes in air pressure.
Answer
16 cm
The correct answer is 16 cm — Compute the bottle’s total volume: .
Step-by-step solution
- Find the radius of the bottle: .
- Compute the bottle’s total volume: .
Common mistake: Using 80 % of the height instead of the volume
Concept tested: Conservation of volume in a closed container
Published · How this solution was prepared and checked
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