A measuring instrument has a 1% error, that is, if a length measures 100mm, it has an error of ±1mm. The radius of a sphere is measured with such instrument as 50mm. Calculate (to the closest mm³) the Volume of this sphere? Volume = mm³ Using the "small change formula", calculate (to the closest mm³) the approximate change in the Volume = ± mm³ What is the percentage error in the Volume given the formula below? % The percentage error in the volume ΔΙ' V x 100 %
A measuring instrument has a 1% error, that is, if a length measures 100mm, it has an error of ±1mm. The radius of a sphere is measured with such instrument as 50mm. Calculate (to the closest mm³) the Volume of this sphere? Volume = mm³ Using the "small change formula", calculate (to the closest mm³) the approximate change in the Volume = ± mm³ What is the percentage error in the Volume given the formula below? % The percentage error in the volume ΔΙ' V x 100 %
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:A measuring instrument has a 1% error, that is, if a length measures 100mm, it
has an error of ±1mm.
The radius of a sphere is measured with such instrument as 50mm.
Calculate (to the closest mm³) the Volume of this sphere? Volume =
mm³
Using the "small change formula", calculate (to the closest mm³) the approximate
change in the Volume = ±
mm³
What is the percentage error in the Volume given the formula below? %
The percentage error in the volume
ΔΙ'
V
-x 100 %
Expert Solution
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Step 1: Introduction of the given problem
The radius of the sphere is and the error in the measuring instrument is
.
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Solved in 5 steps with 15 images
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