Hello, totalnewbie!

Cylinder is inscribed in a sphere of radius .

What is the biggest volume of cylinder then?Code:* * * * - - - - - * * | | * * | | * | | * | | * * | * | * * | : \ | * | h: \R | * | : \ | * * | : r \| * * - - + - - * * * *

The radius of the cylinder is .

The height of the cylinder is .

The volume of the cylinder is: .[1]

In the diagram, we see that: .[2]

Substitute[2]into[1]: .

Therefore, we must maximize: .

. . Go for it!