How Do You Calculate Error in Density for a Cylinder?

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To calculate the error in density for a cylinder, the mass, diameter, and height must be considered along with their respective uncertainties. The discussion highlights the importance of using the product rule for error propagation, which combines relative errors of the measurements. There is a debate on whether to add errors linearly or quadratically, with one participant noting that linear addition is a more conservative approach. The conversation also emphasizes the need for clarity in posts, as one user failed to provide a complete question or solution attempt. Understanding these error calculation methods is crucial for accurate density determination.
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Homework Statement


The density of a cylinder is calculated from the following data:

mass m= (9.1±1.1)g , diameter d = (2.8±0.2) cm , and height H= (4.1±0.6) cm.

The error on the density, before rounding, is ( in g /cm3 )

Homework Equations

The Attempt at a Solution

 
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Yes, well, I have the impression Subo wasn't able to finish his/her post ? There is no question and there are no equations, nor is there an attempt at solution. All very much against PF rules ! Subo: read the guidelines once more, please !

Apart from this rant, I post because I want to know if Subo is used to add errors linearly or quadratically. Covenant in Georgia sticks to linear addition which is very pessimistic. They also have to wriggle to make plausible that it does help to take more measurements and then average, in spite of their pessimistic rule 1.
 
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