# Maximum of volume

The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?

### Correct answer:

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

**algebra**- equation
**solid geometry**- cylinder
**planimetrics**- Pythagorean theorem
- right triangle
- circle
- area of a shape
- perimeter
- triangle
- circular sector
**basic functions**- maximum
- derivation

#### Units of physical quantities:

#### Grade of the word problem:

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