The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

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
Chapter11: Rational And Irrational Numbers
Section11.5: Square Roots Of Variable Expressions
Problem 9P
Question

The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

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