The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter. a. Use differentials to approximate the possible propagated error, in cm3, in computing the volume of the sphere. (b) Use differentials to approximate the possible propagated error, in cm2, in computing the surface area of the sphere. (c) Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.) volume % surface area %

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter.
a. Use differentials to approximate the possible propagated error, in cm3, in computing the volume of the sphere.
(b)
Use differentials to approximate the possible propagated error, in cm2, in computing the surface area of the sphere.
(c)
Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.)
volume %
surface area %
 
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,