The circumference of a sphere was measured to be 90.000cm with a possible error of 0.500000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.      Estimate the relative error in the calculated surface area.

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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The circumference of a sphere was measured to be 90.000cm with a possible error of 0.500000 cm. Use linear approximation to estimate the maximum error in the calculated surface area. 

 

 

Estimate the relative error in the calculated surface area.

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