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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 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.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1.3E
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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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