A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will minimize the cost of metal to manufacture the can?
Height = 10.84 cm, radius of the base = 5.42 cm and material for the surface =37 square cm, nearly
Let height = h and radius of the base = r.
and surface area of the can
Now, eliminating h,
Correspondingly, h= 10.84 cm, nearly
There is no maximum for S. Also,
For this r= 5.42 cm, S = 37.1