The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2What is the relative error? (Round your answer to three decimal places.)(b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.) cm3What is the relative error? (Round your answer to three decimal places.)

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 41AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm.

(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.)
 cm2

What is the relative error? (Round your answer to three decimal places.)


(b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)
 cm3

What is the relative error? (Round your answer to three decimal places.)
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