33. 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 + 84/T 27 cm2; 2 0.012 = 1.2% 84

33. 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 + 84/T 27 cm2; 2 0.012 = 1.2% 84

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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Question

33. 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 +
84/T 27 cm2;
2 0.012 = 1.2%
84

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Step 3: The differential for SA of sphere is shown below,

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Step 4: The relative error is calculated below,

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