When a conical bottle rests on its flat base, the water in the bottle is 8 cm from the cone's vertex.
When the same conical bottle is turned upside down, the water surface is 2 cm from the flat base.
What is the height (in cm) of the bottle?
The height of the bottle is 23 cm.
See the full answer here: https://mindyourdecisions.com/blog/2018/11/01/challenge-for-13-year-olds-how-tall-is-the-bottle/