The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter.
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The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter.
(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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