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Member warned about posting homework in non-homework forum sections

**Mod note**: Moved from technical math section, so is missing the homework template.

A right triangle the hypotenuse of which is c revolves about a small side. A right circular cone is formed.

**Find the largest possible volume of the cone.**

Vcone: pi*r^2*(h/3)

I don't get why they mentioned the hypotenuse, since it is not even in the volume formula...

Since it is a 'right' triangle, shouldn't the maximum height of the cone be 1?

But I still don't know which

**extreme value**I should search for...

(The solution should be: 1/(9*sqrt3) * c^3 * pi )

Could someone please help me to?

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