Volume and Surface Area The radius of a spherical balloon is measured as 8 inches, with a possible error of 0.02 inch. (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 parts (a) and (b).

Trigonometry (MindTap Course List)
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Volume and Surface Area The radius of a spherical
balloon is measured as 8 inches, with a possible error of
0.02 inch.
(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 parts (a) and (b).
Transcribed Image Text:Volume and Surface Area The radius of a spherical balloon is measured as 8 inches, with a possible error of 0.02 inch. (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 parts (a) and (b).
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