Lab 2: Error Propagation: Volumes
Quinton Candelaria
TA: Yian Song
Thursday 4:30
Abstract
This report presents the practice of error analysis by measuring the volumes of five
regular shapes.
In order to find the volume of each shape we first needed to fine the length of
each dimension (length, width, height, radius, etc.).
We measured each dimension five times and
recorded our findings.
Once we had five measurements of each dimension, we calculated the
mean of each dimension, and then preformed the proper calculation to find the volume of each
object.
After, the calculations to find the standard deviation and standard deviation of the mean
for each dimension were preformed for each shape.
Lastly, with the above information we found
the change of volume or in other words the error of the volume for each object.
For the cylinder
we found the average height to be 127.17mm and the average diameter to be 85.43mm which
meant the average radius was 42.72mm leading to find the average volume of 278,747.05mm
3
.
The standard deviation of the radius was .2929mm and of the height was .1304mm.
The
standard deviation of the mean of the radius was .1309 and of the height was .0583mm.
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 Spring '10
 COVATTO
 Standard Deviation, Quinton Candelaria, 42.72mm, 85.43mm, 127.17mm

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