the question is Calculate the value of the copper in the coin
Step 1
Find the volume of the coin
we know that
the volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
where
r is the radius of the coin
h is the thickness of the coin
in this problem we have
Diameter=19 mm=1.9 cm
r=D/2------> r=1.9/2=0.95 cm
h=1.5 mm=0.15 cm
substitute the values in the formula
[tex]V=\pi*0.95^{2}*0.15=0.425\ cm^{3}[/tex]
Step 2
Find the mass of copper in the coin
we know that
the density is equal to
[tex]Density=mass/volume[/tex]
Solve for the mass
[tex]mass=Density*volume[/tex]
we have
[tex]Density=8.9\ gr/cm^{3}\\Volume=0.425\ cm^{3}[/tex]
substitute in the formula
[tex]mass=8.9*0.425=3.785\ gr[/tex]
Step 3
Find the cost
we know that
the market price of the copper is $2.15 per pound
1 pound=453.592 grams
convert gram to pounds
3.785 gr=3.785/453.592=0.0083 pounds
0.0083*$2.15=$0.018=$0.02
therefore
the answer is
$0.02
