The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm.

Question

(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.)




(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.)

Answer 1

a) 24 cm^2
0.014

b) 139 cm^3
0.0190

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