"A cylindrical can has a radius of 4cm. and a height of 12.2cm."
2. Determine the dimensions that will minimize the amount of material needed to construct a can with your volume.
(a)equation to be minimized.
(b)calculus solution with minimum dimensions.
(c)Justification of why it is a minimum.
(a). (2)πr^2 +2πrh
(b). I have trouble with. The equation to be optimized is the volume of a cylinder. But what would it be constrained by?
November 5th 2012, 11:01 PM
Your constraint would concern the volume of the can, which is fixed. You want to minimize the surface area, since this is what determines the amount of material needed.