I ended up with a radius= 1.16 and h=2.33 does this sound reasonable?
I did S'(r)=0 for r and then used that to solve for my h.
A cylinder has volume of 10m^3. What are the dimensions that will give the maximum & minimum surface areas. (if there is no max or min state why)
I think I need to make a function for surface area, use max & min of the deriv perhaps?
not sure how to turn this into deminsions
EDIT:
So for a first step I solved volume equation for H and then do I put that back into my surface area equation?