The radius of a sphere wass measured to be 30 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. The surface area of a sphere is S=4tr2 .) cm2 What is the relative error? (Round your answer to three decimal places.) 0.033 (b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer. The volume of a sphere is V=u3.) cm3 What is the relative error? (Round your answer to three decimal places.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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The radius of a sphere wass measured to be 30 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. The surface area of a sphere is S=4tr2 .)
cm2
What is the relative error? (Round your answer to three decimal places.)
0.033
(b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest
integer. The volume of a sphere is V=u3.)
cm3
What is the relative error? (Round your answer to three decimal places.)
Transcribed Image Text:The radius of a sphere wass measured to be 30 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. The surface area of a sphere is S=4tr2 .) cm2 What is the relative error? (Round your answer to three decimal places.) 0.033 (b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer. The volume of a sphere is V=u3.) cm3 What is the relative error? (Round your answer to three decimal places.)
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