A right circular cylinder volume υ is to be calculated fromthe measured base radius R and height H . If the uncertaintyin R is 2 percent and the uncertainty in H is 3 percent, estimatethe overall uncertainty in the calculated volume.
A right circular cylinder volume υ is to be calculated fromthe measured base radius R and height H . If the uncertaintyin R is 2 percent and the uncertainty in H is 3 percent, estimatethe overall uncertainty in the calculated volume.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
A right circular cylinder volume υ is to be calculated from
the measured base radius R and height H . If the uncertainty
in R is 2 percent and the uncertainty in H is 3 percent, estimate
the overall uncertainty in the calculated volume.
Expert Solution
Step 1
Write the given information.
Step 2
Write the expression of the volume of the cylinder.
Differentiate the expression of volume with respect to radius.
Differentiate the expression of volume with respect to height.
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