Decimal Coins
How to calculate Volume and Density of a coin?
I have measured two coins using a vernier caliper to two decimal milimeter digits. I did this fives times and took the average of each diameter and thickness. How can I find the volume and denisty from these calculations?
Quarter:
Diameter average – 22.87 mm
Thickness average – 0.39 mm
Nickel:
Diameter average – 19.88 mm
Thickness average – 0.58 mm
Density= Mass/volume.
Find the volume of the coins with the number you have found. Round coins would just be flat cylinders, so the calculation is base*height = volume.
Your base is a circle, so use pi*r^2= area. You have the diameter so just divide by 2 to get radius, and pi is about 3.14
The height would be the thickness that you found. Use these number to find volume.
You also need to weigh each coin to get the average mass. Once you’ve done that, simply plug your numbers into the density equation and you’re all set!
Decimal Coin Change
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