v = πr^2 h = 1
so, h = 1/(Ï€r^2)
The surface area is
a = 2Ï€r^2 + 2Ï€rh = 2Ï€r^2 + 2/r
for minimum area, find r where da/dr=0
The seam length is 2*2Ï€r + h
now the total cost is
c = 3*(2Ï€r^2 + 2/r) + 2(4Ï€r+1/(Ï€r^2))
for minimum cost, find where dc/dr = 0
I'll let you figure the total cost including shipping, but the idea is the same.
C'mon back if you get stuck, and show what you did.