Thermal expansion, percent change in density problem

AI Thread Summary
When the temperature of a metal cylinder increases from 0.0°C to 100°C, its length increases by 0.23%, which affects its volume. Since all linear dimensions of the cylinder expand by the same percentage, the volume change can be calculated using the formula for volume. The density change can then be determined by recognizing that mass remains constant while volume increases. This leads to a decrease in density, which can be expressed as a percent change. Understanding the relationship between length, volume, and density is crucial for solving this problem.
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Homework Statement



When the temperature of a metal cylinder is raised from 0.0°C to 100°C, its length increases by 0.23%. Find the percent change in density.


Homework Equations


∆L = L∆T
p=m/v

The Attempt at a Solution



I don't have any real idea how to start the problem. How do I relate the change in length to the change in volume? I know that mass is constant.

Thanks
 
Physics news on Phys.org
How do you find the volume of a cylinder? Hint: All linear dimensions increase by the same percentage.
 
oh my god thanks so much
 
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