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.)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 1.5CYU: Check Your Understanding Suppose we want the formula for the volume of a sphere. The two expressions...
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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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