How to calculate Volume and Density of a coin?

Question

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

Answer 1

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!

Answer 2

That must have been somewhat tedious .. if indeed you did do this, anyways :



Volume of a cylinder .. yeah, your coins are cylinders in this case



Think about it .. all you want to do is find the area of the face of the coin and mulitply it by it's height/thickness



Now, you should Really now how to get the area of a circle I mean this is primary 1 stuff honestly



But I'm gonna give it to you anyways



Just multiply the Diameter by Pi and that's your area .. shame on you if you didn't know this



Now, in order to find the Density you need to know the weight



You have not given us the weight



weigh them and divide this result by their volume

Answer 3

You can find the volume, not the density from those numbers.



cylinder V = πr²h

for the quarter, r = (1/2)22.87

and h = 0.39

plug in the numbers



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