3.) The radius of a sphere is claimed to be 6in., with a possible error of 0.02in. Use differentials to approximate the max. possible error in calculating: (a)volume of sphere ;(b) SA of sphere;(c) what is the relative error in parts (a) & (b)?

3.) The radius of a sphere is claimed to be 6in., with a possible error of 0.02in. Use differentials to approximate the max. possible error in calculating: (a)volume of sphere ;(b) SA of sphere;(c) what is the relative error in parts (a) & (b)?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...

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Question

3.) The radius of a sphere is claimed to be
6in., with a possible error of 0.02in.
Use differentials to approximate the
max. possible error in calculating:
(a)volume of sphere ;(b) SA of
sphere;(c) what is the relative error in
parts (a) & (b)?

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