Problem: A U.S. 1-cent coin (a penny) has a diameter of 19 mm and a thickness of 1.5 mm. Assume the coin is made of pure copper, whose density and approximate market price are 8.9 g/cm3 and $2.55 per pound, respectively.Calculate the value of the copper in the coin, assuming its thickness is uniform.

FREE Expert Solution

We’re being asked to determine the value of the copper in the coin assuming that its thickness is uniform.


A coin is cylindrical in shape. So, we can use the formula for the volume of a cylinder.


The volume of a cylinder is given by the following equation:

Volume (V) = πr2h


where r = radius and h = height or thickness


Density, on the other hand, is given by the following equation:

Density (d) = massvolume


We will do the following steps to solve the problem:

Step 1: Calculate the volume of the coin

Step 2: Calculate the mass of the coin

Step 3: Calculate the value of the coin

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Problem Details

A U.S. 1-cent coin (a penny) has a diameter of 19 mm and a thickness of 1.5 mm. Assume the coin is made of pure copper, whose density and approximate market price are 8.9 g/cm3 and $2.55 per pound, respectively.

Calculate the value of the copper in the coin, assuming its thickness is uniform.