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

AI Thread Summary
The discussion centers around calculating the volume of a cylinder with given dimensions and uncertainties. The user initially arrives at a volume of (1070 ± 2000) mm³, questioning the validity of the negative uncertainty. Clarification is sought on whether the volume calculation pertains to the void inside the cylinder, the overall volume, or the material of the cylinder walls. Participants suggest providing detailed calculations to assist in resolving the uncertainty issue. The conversation emphasizes the importance of correctly interpreting volume and uncertainty in measurements.
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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