Problem 33E

33. The circumference of a sphere was measured to be $84 \mathrm{~cm}$ with a possible error of $0.5 \mathrm{~cm}$.

(a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error?

(b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error?

 

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