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**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

###### 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:

$\overline{){\mathbf{Volume}}{\mathbf{}}{\mathbf{\left(}}{\mathbf{V}}{\mathbf{\right)}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{{\mathbf{\pi r}}}^{{\mathbf{2}}}{\mathbf{h}}}$

where r = radius and h = height or thickness

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

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

*We will do the following steps to solve the problem:*

*Step 1: Calculate the volume of the coin*

*Step 2: Calculate the mass of the coin*

*Step 3: Calculate the value of the coin*

###### 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/cm^{3} and $2.55 per pound, respectively.

Calculate the value of the copper 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 .

How long does this problem take to solve?

Our expert Chemistry tutor, Dasha took 7 minutes to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Lorey's class at CORNELL.