Question

The radius of a spherical balloon is measured as 8 inches, with a possible error of 0.02inch.

a) Use differentials to approximate the possible propagated error in computing the volume of the sphere.

b) Use differentials to approximate the possible propagated error in computing the surface area of the sphere.

c) Approximate the percent errors in part a and b
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As for part a, I got +-5.12pi in^3

Part b) I got +-1.28pi in^3

C) part a=0.75% error
part b=0.5% error

Answer 1

I got the same answers.

I hope we're both <i>right</i>!