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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 %

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
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 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 %
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 %
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