Question

A manufacturer makes a cylindrical can with a volume of 500 cubic centimeters. What dimensions (radius and height) will minimize the material needed to produce each can, that is, minimize the surface area? Explain and show all steps business calculus.

Answer #1

A cylindrical can is to have volume 1500 cubic centimeters.
Determine the radius and the height which will minimize the amount
of material to be used.
Note that the surface area of a closed cylinder is
S=2πrh+2πr2 and the volume of a cylindrical can is
V=πr2h
radius =. cm
height = cm

a cylindrical can holds 250 ml of liquid. Find the dimensions of
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Helpful information:
h : height of can, r : radius of can
Volume of a cylinder: V=πr2^h
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