I have attached a copy of the problem I need help with. It is task #5. This problem is part of a larger problem dealing with the surface area of a cylinder. I have been able to solve the previous four tasks. Here are all the important formulas and values that I have so far:
In task 4, found the values for r and h that I think may be helpful in task 5:
r = 250^(1/3)/3^(1/6)
h/r is given in the problem in task #4.
I am having a difficult time knowing where and how to begin. I believe that we must find k, but I don't know if I have done that right. Also, assuming that we find a numerical value for k, do we need to include that into the equation or do we treat the variable as a constant? Either way, I can't seem to properly differentiate the first equation. Please help!