a. Calculate the following: (a) volumes (in cubic meters) of the tank in each trial (Hint: formula for volume cylinder = Tr²h, where r = radius, h = height), (b) mean of the volume, (c) standard deviation of the volume, and (d) CV of the volume b. Report the average volume of this cylindrical tank together with its uncertainty considering that its average radius is 2.70 ± 0.01 m.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Pao measured the diameter and the height of an open cylindrical tank. He did three
replicate measurements, with the given results:
Trial
Diameter (m)
1
2
3
5.20
5.70
5.30
Height (m)
7.90
7.80
7.60
a. Calculate the following: (a) volumes (in cubic meters) of the tank in each trial (Hint:
formula for volume cylinder = r²h, where r = radius, h = height), (b) mean of the volume,
(c) standard deviation of the volume, and (d) CV of the volume
b. Report the average volume of this cylindrical tank together with its uncertainty
considering that its average radius is 2.70 ± 0.01 m.
Transcribed Image Text:Pao measured the diameter and the height of an open cylindrical tank. He did three replicate measurements, with the given results: Trial Diameter (m) 1 2 3 5.20 5.70 5.30 Height (m) 7.90 7.80 7.60 a. Calculate the following: (a) volumes (in cubic meters) of the tank in each trial (Hint: formula for volume cylinder = r²h, where r = radius, h = height), (b) mean of the volume, (c) standard deviation of the volume, and (d) CV of the volume b. Report the average volume of this cylindrical tank together with its uncertainty considering that its average radius is 2.70 ± 0.01 m.
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