uring instrument has a 0.5% error, that is, if a length measures 100 error of ±0.5mm. lius of a sphere is measured with such instrument as 50mm. te (to the closest mm³) the Volume of this sphere? Volume = he "small change formula", calculate (to the closest mm³) the appro in the Volume = ± mm³ s the percentage error in the Volume (to one decimal place) given th a below? % ercentage error in the volume

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 70AR: Compute the number of cubic centimeters of iron required for the cast-iron plate shown. The plate is...
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A measuring instrument has a 0.5% error, that is, if a length measures 100mm, it
has an error of ±0.5mm.
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 (to one decimal place) given the
formula below?
%
The percentage error in the volume
ΔΙ'
V
x 100 %
Transcribed Image Text:A measuring instrument has a 0.5% error, that is, if a length measures 100mm, it has an error of ±0.5mm. 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 (to one decimal place) given the formula below? % The percentage error in the volume ΔΙ' V x 100 %
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