The circumference of a sphere was measured to be 84 cmwith a possible error of 0.5 cm.(a) Use differentials to estimate the maximum error in thecalculated surface area. What is the relative error?(b) Use differentials to estimate the maximum error in thecalculated volume. What is the relative error?

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
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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The circumference of a sphere was measured to be 84 cm
with a possible error of 0.5 cm.
(a) Use differentials to estimate the maximum error in the
calculated surface area. What is the relative error?
(b) Use differentials to estimate the maximum error in the
calculated volume. What is the relative error?

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