SOLUTION: a cylindrical aluminum can has a volume of 500 cubic centimeters. if each square centimeter of aluminum cost .05 cents, express the cost of material for the can as a function of th

Question 365679: a cylindrical aluminum can has a volume of 500 cubic centimeters. if each square centimeter of aluminum cost .05 cents, express the cost of material for the can as a function of the radius r of the can.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a cylindrical aluminum can has a volume of 500 cubic centimeters.
if each square centimeter of aluminum cost .05 cents, express the cost
of material for the can as a function of the radius r of the can.
:
Use the volume equation to get h in terms of r
= 500
Divide both sides by
h =
:
The surface area of a cylinder including the two ends
S.A. = +
Get the surface area in terms of r, replace h with
S.A. = +
we can cancel pi*r
S.A. = +
Factor out 2
S.A. = 2()
To find the cost, multiply by .05
C(r) = .05*2()
:
C(r) = .1(); cost of material in terms of r
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