A cylindrical tin boiler of given volume V has a copper bottom and is open at the top. If sheet copper is 5 times as expensive as sheet tin per unit area, find the most economical dimensions (height and radius) for constructing the boiler.
I can't seem to play around with the equations the right way to get what I need. I figure, if y = total cost and p = price per unit:
y = pCh + 5p*pi*r^2
where C = circumference, r = radius and h = height
This way doesnt seem to be helping me out much though in the calculus aspect... any ideas?





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