# Conical bottle

When a conical bottle rests on its flat base, the water in the bottle is 8 cm from its vertex. When the same conical bottle is turned upside down, the water level is 2 cm from its base. What is the height of the bottle?

## Correct answer:

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### You need to know the following knowledge to solve this word math problem:

**geometry**- similarity of triangles
**algebra**- quadratic equation
- equation
- system of equations
- expression of a variable from the formula
**solid geometry**- cone
**planimetrics**- triangle
**basic functions**- ratio

### Units of physical quantities:

### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

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