MY NOTES ASK YOUR TEACHER PR The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.05 inch. Use differentials to approximate the maximum possible error in calculating the following. (a) Calculate the volume of the sphere. error t 3351.3 in (b) Calculate the surface area of the sphere. error + 25.1327 in? (c) Calculate the relative errors in parts (a) and (b). volume 0.75 surface area0.5

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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MY NOTES
ASK YOUR TEACHER
The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.05 inch. Use differentials to approximate the maximum possible error in calculating the following.
PR
(a) Calculate the volume of the sphere.
error 3351,3
in
(b) Calculate the surface area of the sphere.
error + 25.1327
in?
(c) Calculate the relative errors in parts (a) and (b).
volume
0.75
surface area05
Transcribed Image Text:MY NOTES ASK YOUR TEACHER The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.05 inch. Use differentials to approximate the maximum possible error in calculating the following. PR (a) Calculate the volume of the sphere. error 3351,3 in (b) Calculate the surface area of the sphere. error + 25.1327 in? (c) Calculate the relative errors in parts (a) and (b). volume 0.75 surface area05
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