# Secret treasure

Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.

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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
- expression of a variable from the formula
**arithmetic**- square root
- square (second power, quadratic)
**solid geometry**- cylinder
- pyramid
- body volume
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
**basic functions**- maximum
- minimum
- derivation
**units**- volume
- high school

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