Hello, furor celtica!

A circular cylinder is inscribed in a sphere of radius 10 cm.

Calculate the maximum possible volume of the cylinder.Code:* * * * * * - - - + - - - * *| | |* | | | * | | | * * | * | * * | | * 10 | * | y| * | *| | x * |* * - - - + - - - * * * * * *

The radius of the cylinder is

The height of the cylinder is

We see that: .

The volume of the cylinder is: .

So we have: .

. . . . . . . . . .

Andis the function we must maximize.that