We’re being asked to determine the **value of the silver in the coin** given its density and market value assuming its thickness is uniform.

Recall that** density** is given by:

$\overline{){\mathbf{density}}{\mathbf{}}{\mathbf{\left(}}{\mathbf{d}}{\mathbf{\right)}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

We will do the following steps to solve the problem:

Step 1: Calculate the volume of the coin

Step 2: Determine the mass of the silver in the coin using density

Step 3: Calculate the value of the silver coin

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/cm^{3} and $0.52 per gram, respectively.

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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density of Geometric Objects concept. You can view video lessons to learn Density of Geometric Objects. Or if you need more Density of Geometric Objects practice, you can also practice Density of Geometric Objects practice problems.