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  • one year ago

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?

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  1. anonymous
    • one year ago
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    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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