Aluminum Coke Can
Values
Question One: On April 17, 2014 the price of aluminum was
$0.83 per pound? Recall from a previous
blog that a regular empty Coke Can weighs 14 grams. What is the value of the aluminum in a single
Coke can?
There are 453.6 grams in a pound.
The value of the 14 gram can is (14/453.6) x $0.83 or
0.0256.
Question Two: What is the value of a Coke can that is
filled with solid aluminum? (Remember
the radius of the can is 3.2 centimeters and the height of the can is 12.2
centimeters.)
First, the volume of the can must be obtained from the
formula for the volume of the cylinder.
Intuitively this should be the area of the circle around the can
multiplied by the height of the can.
V= H x pi x r2
V=12.2 x 3.142 x 3.2^{2} = 392.6 cm^{3}
Multiply by the density 2.8 gm/cm^{3} to get the
mass.
Mass = 2.8 gm/cm^{3} x 392.5 cm^{3} = 1099.1 grams
From the first question above we know that the price of
aluminum per gram is 0.0256/14 or 0.001829 $.
Multiply price per gram $0.001829 by 1099.1 grams to get our
answer of $2.0.
See summary of work in question two below:
A solid aluminum can


Height (cm)

12.2

pi

3.142

r (cm)

3.2

V (cm3)

392.5

Density (g/cm3)

2.8

Mass (gm)

1099.1

Price per gram ($/gram)

0.001829

Value ($)

2.0

Please verify.
Interested readers should go to the Coke Can Math Question List:
http://fractiontips.blogspot.com/2014/04/cokecanmath.html
http://fractiontips.blogspot.com/2014/04/cokecanmath.html
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