SOLUTION: A manufacturer of food-storage containers makes a cylindrical bin with a volume of 1000cm. What dimensions (height and radius) will minimize the material needed to produce each bin

Question 940367: A manufacturer of food-storage containers makes a cylindrical bin with a volume of 1000cm. What dimensions (height and radius) will minimize the material needed to produce each bin, that is minimize the surface area?
1000 = Pai r^2 h
.........
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The volume of the can is,

The surface area of the can is,

From the volume equation,

Substitute into the surface area equation,

Take the derivative of area with respect to R and set it equal to zero.

SO then,

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