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:
where r = radius and h = height or thickness
Density, on the other hand, is given by the following equation:
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
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.