How Do You Calculate Error in Density for a Cylinder?

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SUMMARY

The calculation of error in density for a cylinder involves using the mass, diameter, and height measurements, specifically mass m = (9.1±1.1)g, diameter d = (2.8±0.2) cm, and height H = (4.1±0.6) cm. The forum discussion emphasizes the importance of the product rule for error propagation, defined as err(xy)/(xy) = err(x)/x + err(y)/y. The debate centers on whether to apply linear or quadratic error addition, with Covenant College advocating for linear addition, which is considered a more conservative approach. This method, while pessimistic, is argued to be beneficial in terms of measurement reliability.

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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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