Uncertainty/error of a volume is greater than the normal volume

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SUMMARY

The discussion revolves around calculating the volume of a hollow cylinder with specified dimensions and associated uncertainties. The external diameter is (23.0 ± 0.5) mm, the internal diameter is (22.5 ± 0.5) mm, and the height is (60.0 ± 0.5) mm. The calculated volume, reported as (1070 ± 2000) mm³, raises concerns due to the negative uncertainty, indicating a miscalculation. The focus is on determining the volume of the cylinder walls, as well as clarifying the correct approach to error propagation in this context.

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AndrewPX
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Homework Statement


I have an empty cylinder with an external diameter of (23.0 ± 0.5) mm, an internal diameter of (22.5 ± 0.5) mm and a height of (60.0 ± 0.5) mm. I need to calculate its volume with its uncertainty/error.

Homework Equations


203900-cf7e51747a9e69c35bc9278a2dca6675.jpg


The Attempt at a Solution


I do it like this exercise:
http://www.chem.hope.edu/~polik/Chem345-2000/errorpropagation.htm
The result gives me (1070 ± 2000) mm ^ 3.
in my opinion it is not right since the error / uncertainty indicates the interval of the error and this can not be negative since there are no negative measures ...
 
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AndrewPX said:
I need to calculate its volume with its uncertainty/error.
What volume would that be?
-- The volume of the void inside the cylinder?
-- The overall volume occupied by the cylinder?
-- The volume of the material comprising the cylinder walls?

If you showed details of your work so far we might be able to tell what you are going for :wink:
 
the volume of the material comprising the cylinder walls. Sorry idk how to put my work..
 
AndrewPX said:
Sorry idk how to put my work..
To write math symbols in the forum, you can click the little Sigma symbol above the edit window "∑" to get access to math symbols. And there is a full LaTeX tutorial under INFO at the top of the page, in Help/How-To.
 
ohh ok thanks
 

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