A coin dealer offers to sell you an ancient nickel coin that is 3.1 cm..........

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A coin dealer offers to sell you an ancient nickel coin that is 3.1 cm in diameter and 4.65 mm in thickness.

A) The density of nickel is 8.9 g/cm3. How much should the coin weigh if it is pure nickel? (in grams)

B) If nickel sells for $0.216 per troy ounce, how much is the nickel content worth? (1 troy ounce = 31.1 g)

Jun 10th, 2015

Thank you for the opportunity to help you with your question!


Diameter of Ni coin= 3.1cm

Thickness of Ni coin= 4.65mm= 46.5cm

Density of Ni = 8.9g/cm3

Mass of Ni in coin=?

Worth of Ni in coin=?


Density = mass/volume

Volume of a coin= π r2 t

Diameter = 2r

r = 2d

r= 1.55cm

Volume of a coin= (3.142) (1.55)2 (46.5)

Volume of a coin= 351.0124cm3

Mass of Ni in coin= density of Ni * volume

Mass of Ni = 8.9* 351.0124

Mass of Ni = 3124.0108g


31.1g = 1 troy ounce

3124.0108g = (1*3124.0108)/31.1

  = 100.4505troy ounce

1 troy ounce = $0.216

100.4505 = ($0.216*100.4505)/1

  = $21.697

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 10th, 2015

4.65mm does not equal 46.5 :/

Jun 10th, 2015


Jun 10th, 2015

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