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Answer :
The density (in g/ml) of the metal 268700 g/m³.
To find the density of the metal, we need to know the mass and volume of the coins. We can calculate the volume of one coin and then multiply by the number of coins to get the total volume.
The volume of one coin can be found using the formula for the volume of a cylinder:
V = π × r² × h
where r is the radius and h is the height (thickness) of the coin.
r = 1.57 inches / 2 = 0.785 inches
h = 0.0787 inches
V = π × 0.785² × 0.0787 = 0.0109 cubic inches
Since 1 cubic inch = 16.387064 cm³, the volume of one coin is 0.0109 × 16.387064 = 0.179 cm³.
The total volume of the 59 coins is 0.179 × 59 = 10.58 cm³.
The mass of the coins is 6.322 lbs = 2834.9 g.
So the density of the metal is:
density = mass / volume
density = 2834.9 g / 10.58 cm³
density = 268.7 g/cm³ = 268700 g/m³
Therefore, the density of the metal is 268700 g/m³
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