A sphere has a radius of 20 mm with a possible error in measurement of 0.2 mm. Use differentials to estimate the error when computing the surface area of the sphere. What is the relative error? Percentage error? (Recall that the surface area of a sphere is A = 4ar'.)

Mathematics For Machine Technology
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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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A sphere has a radius of 20 mm with a possible error in measurement of 0.2 mm. Use differentials to estimate
the error when computing the surface area of the sphere. What is the relative error? Percentage error? (Recall
that the surface area of a sphere is A = 4ar.)
Transcribed Image Text:A sphere has a radius of 20 mm with a possible error in measurement of 0.2 mm. Use differentials to estimate the error when computing the surface area of the sphere. What is the relative error? Percentage error? (Recall that the surface area of a sphere is A = 4ar.)
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