SOLUTION: a flat circular plate of copper has a radius of 0.243m and a mass of 62kg. what is the thickness of the plate?

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Question 761179: a flat circular plate of copper has a radius of 0.243m and a mass of 62kg. what is the thickness of the plate?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
While trying to think how to analyze this, no way seems possible without using the density of copper.

Use 8.96 grams/cm^3 for copper.
This density is highlight%28kg%2Fm%5E3%29

That conversion is to let us use units of only kilograms and meters, or cubic meters.

Let h = depth of the disc.
Volume of the disc is h%2Api%2A%280.243%29%5E2 m%5E3 .
This volume, based on the mass and density of the copper must be:
Volume is 62%2A%281%2F8960%29 m^3

Those two volumes must be equal.
highlight%28h%2Api%2A%280.243%29%5E2=62%2F8960%29
And of course you just solve for h.