A spherical ball is measured to have a radius of 6 cm with a possible measurement error of ±0.1rmcm. Use the differentials to estimate the percentage error in computing the volume of the ball.

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 spherical ball is measured to have a radius of 6 cm with a possible measurement error of ±0.1rmcm. Use the differentials to
estimate the percentage error in computing the volume of the ball.
A) 1%
B 3%
C) 5%
D 10%
Transcribed Image Text:A spherical ball is measured to have a radius of 6 cm with a possible measurement error of ±0.1rmcm. Use the differentials to estimate the percentage error in computing the volume of the ball. A) 1% B 3% C) 5% D 10%
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