# Cutting cone

A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm.

### Correct answer:

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

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

#### Units of physical quantities:

#### Grade of the word problem:

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