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. (Round your answer to the nearest integer.) cm² What is the relative error? (Round your answer to three decimal places.) 1.19 (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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Chapter1: Units, Trigonometry. And Vectors
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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. (Round your answer to the
nearest integer.)
cm²
What is the relative error? (Round your answer to three decimal places.)
1.19
(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.)
Transcribed Image Text: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. (Round your answer to the nearest integer.) cm² What is the relative error? (Round your answer to three decimal places.) 1.19 (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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