anonymous
  • anonymous
An ancient gold coin is 2.2 cm in diameter and 3.0 mm thick.If the density Of gold is 19.3g/cm^3, what is the mass of the coin? If gold costs $125.00 per gram ,how much is the gold worth?
Chemistry
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anonymous
  • anonymous
An ancient gold coin is 2.2 cm in diameter and 3.0 mm thick.If the density Of gold is 19.3g/cm^3, what is the mass of the coin? If gold costs $125.00 per gram ,how much is the gold worth?
Chemistry
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Thickness=height since it is a coin A coin with thickness as its height makes it a cylinder Volume of a cylinder=pi x height x (radius)^2 Diameter= 2 x radius 2.2cm/2=1.1cm r=1.1cm Convert 3.0mm to cm to make all units the same and because the density is in cm 1mm=0.10cm then 3mm is equal to 0.30cm Volume=3.14 x 0.30cm x (1.1cm)^2=1.139 cm^3 Density=mass/volume 19.3g/cm^3=mass/1.139cm^3 Mass=19.3g/cm^3 x 1.139cm^3 Mass=21.982g Price=number of grams x $125.00 Price=21.982 x $1.25 Price=$2747.83 or $2.7 x10^3

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