The diameter of a steel ball is measured to be 16 cm, with a maximum error of 0.3 cm. Estimate the maximum error in the surface area as calculated from the formula S = 47r².

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....
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Subject: Numerical Method and Analysis Lesson: Linear Approximation and Differential
The diameter of a steel ball is measured to be 16 cm, with a maximum error of
0.3 cm. Estimate the maximum error in the surface area as calculated from the
formula S = 4rr².
Transcribed Image Text:The diameter of a steel ball is measured to be 16 cm, with a maximum error of 0.3 cm. Estimate the maximum error in the surface area as calculated from the formula S = 4rr².
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