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
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Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
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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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