The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 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
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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 8383 cm with a possible error of 0.50.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

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The circumference of a sphere was measured to be 83 cm
with a possible error of 0.5 cm. Use linear approximation
to estimate the maximum error in the calculated surface
area.
Estimate the relative error in the calculated surface area.
Transcribed Image Text:The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 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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