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/cm^{3}. 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)

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

DATA:

Diameter of Ni coin= 3.1cm

Thickness of Ni coin= 4.65mm= 46.5cm

Density of Ni = 8.9g/cm^{3}

Mass of Ni in coin=?

Worth of Ni in coin=?

SOLUTION:

Density = mass/volume

Volume of a coin= π r^{2} t

Diameter = 2r

r = 2d

r= 1.55cm

Volume of a coin= (3.142) (1.55)^{2} (46.5)

Volume of a coin= 351.0124cm^{3}

Mass of Ni in coin= density of Ni * volume

Mass of Ni = 8.9* 351.0124

Mass of Ni = 3124.0108g

WORTH OF NICKLE CONTENT

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

4.65mm does not equal 46.5 :/

cm

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