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23. 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? Answer + 1 84/T 27 cm²; ≈ 0.012 84 21 b. Use differentials to estimate the maximum error in the calculated volume. What is the relative error? Answer + 1764/² 179 cm³; 1:CC 1 56 ≈ 0.018

23. 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? Answer + 1 84/T 27 cm²; ≈ 0.012 84 21 b. Use differentials to estimate the maximum error in the calculated volume. What is the relative error? Answer + 1764/² 179 cm³; 1:CC 1 56 ≈ 0.018

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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23. 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? Answer 1 84/T 27 cm²; ≈ 0.012 84 24 b. Use differentials to estimate the maximum error in the calculated volume. What is the relative error? Answer + 1764/² 179 cm³; ТІ. 1:00 1 56 ≈ 0.018
Transcribed Image Text:23. 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? Answer 1 84/T 27 cm²; ≈ 0.012 84 24 b. Use differentials to estimate the maximum error in the calculated volume. What is the relative error? Answer + 1764/² 179 cm³; ТІ. 1:00 1 56 ≈ 0.018
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