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14 February, 19:59

The U. S. Mint produces a dollar coin called the American Silver Eagle that is made of nearly pure silver. This coin has a diameter of 41 mm and a thickness of 2.5 mm. The density and approximate market price of silver are 10.5 g/cm3 and $0.51 per gram, respectively. Calculate the value of the silver in the coin, assuming its thickness is uniform.

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  1. 14 February, 20:13
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    The value of the silver in the coin is 35.3 $

    Explanation:

    First of all, let's calculate the volume of the coin.

    2π. r². thickness = volume

    r = diameter/2

    r = 41 mm/2 = 20.5 mm

    2. π. (20.5 mm) ². 2.5 mm = 6601 mm³

    Now, this is the volume of the coin, so we must find out how many grams are on it.

    6601 mm³ / 1000 = 6.60 cm³

    Let's apply density.

    D = Mass / volume

    10.5 g/cm³ = mass / 6.60 cm³

    10.5 g/cm³. 6.60 cm³ = mass

    69.3 g = mass

    Each gram has a cost of 0.51$

    69.3 g. 0.51$ = 35.3 $
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