I'm kinda stuck on this.
I need to find the maximum size of a Cylinder that fits in sphere of radius 1.
Ive come up with the following, .. am I on the right track so far?
Volume of Cylinder = Pi(r^2)h = Pi(r^2)(sqrt(1^2 - r^2))
Volume of Sphere = 4/3(Pi)(r^3)
Pi(r^2)(sqrt(1^2 - r^2)) = 4/3(Pi)(r^3)
Now I just need to solve for r. Is this correct? Where does the differentiation come into it?