The circumference of a sphere is measured to be 84 cm with a possible error of 0.5 cm.  a. What is the maximum error in the calculated surface area? b. What is the maximum error in the calculated volume?

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
Section9.1: Prisms, Area And Volume
Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....
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The circumference of a sphere is measured to be 84 cm with a possible error of 0.5 cm. 
a. What is the maximum error in the calculated surface area?

b. What is the maximum error in the calculated volume? 

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