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The data table you've provided is for measuring the physical properties of a stack of five pennies, including:

1. **Mass**: 12.51 grams.
2. **Diameter**: Not provided (we need this to calculate radius and volume).
3. **Radius**: Half the diameter (also needed for volume calculation).
4. **Height**: Not provided.
5. **Volume**: Calculated using the cylinder formula \( V = h \times \pi \times \text{radius}^2 \).
6. **Density**: Not provided but can be calculated using the formula \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \).

To complete this table:
- **Step 1**: Measure or find the diameter of a single penny, then divide by 2 to get the radius.
- **Step 2**: Measure the total height of the 5-penny stack.
- **Step 3**: Calculate the volume using the given formula.
- **Step 4**: Calculate density by dividing mass by volume.

Would you like assistance with any specific calculations once you have the missing measurements?

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### Related Questions
1. What is the diameter of a single penny?
2. How would the height change if more or fewer pennies were used?
3. How does the density of the pennies compare to other materials?
4. What formula should be used if the object isn’t cylindrical?
5. How would measuring inaccuracies affect the final density calculation?

**Tip**: Make sure all measurements are in the same units for accurate calculations!

How to calculate the volume and density of a stack of five pennies given a mass of 12.51 grams?

Learn how to determine the volume and density of a stack of five pennies with a given mass of 12.51 grams. This problem involves measuring the diameter and height, using the cylinder volume formula, and calculating density.

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