A manufacturer wants to design a cylindrical can that will hold 1 liter of liquid (1 liter is
1000.0028 cubic centimeters). The total area of the outside of the can will be the sum of two
disks at the top and bottom plus the cylindrical side. Express this in terms of radius and
height. What should the dimensions of the can be in order to minimize the total area of the
can and, hence, the cost of materials?
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Answer:
For this r= 5.42 cm, S = 37.1
c
m
2
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