A cylindrical tank has a radius of 8ft and a height of 10ft. Both dimensions are measured with a maximum possible error of ±0.05 ft. a. Use the total differential to estimate the maximum possible error in calculated volume. (Hint: The formula for the volume of the cylindrical tank is V = ar²h , where the total differential requires the product rule, resulting in dv = «(r²dh + 2rhdr) .) AP ft³ 2. Compute the actual maximum possible error in the calculated volume. AV = ft³
A cylindrical tank has a radius of 8ft and a height of 10ft. Both dimensions are measured with a maximum possible error of ±0.05 ft. a. Use the total differential to estimate the maximum possible error in calculated volume. (Hint: The formula for the volume of the cylindrical tank is V = ar²h , where the total differential requires the product rule, resulting in dv = «(r²dh + 2rhdr) .) AP ft³ 2. Compute the actual maximum possible error in the calculated volume. AV = ft³
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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![A cylindrical tank has a radius of 8 ft and a height of 10ft. Both dimensions are measured
with a maximum possible error of +0.05 ft.
a. Use the total differential to estimate the maximum possible error in calculated
volume. (Hint: The formula for the volume of the cylindrical tank is V = Tr?h
, where the total differential requires the product rule, resulting in
dv = "(r*dh + 2rhdr) .)
dV =
ft3
2. Compute the actual maximum possible error in the calculated volume.
AV =
|ft3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2eddcd7e-11e4-4446-bac9-23301b2ccefe%2F77db798a-7977-4161-9e81-5f0835420d3d%2Fx1rbxr6_processed.png&w=3840&q=75)
Transcribed Image Text:A cylindrical tank has a radius of 8 ft and a height of 10ft. Both dimensions are measured
with a maximum possible error of +0.05 ft.
a. Use the total differential to estimate the maximum possible error in calculated
volume. (Hint: The formula for the volume of the cylindrical tank is V = Tr?h
, where the total differential requires the product rule, resulting in
dv = "(r*dh + 2rhdr) .)
dV =
ft3
2. Compute the actual maximum possible error in the calculated volume.
AV =
|ft3
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