r°of a spherical balloon changes with the radius. The volume V a. At what rate (in /in) does the volume change with respect to the radius when r 11 in? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 11 to 11.2 in? a. At what rate (in3/in) does the volume change with respect to the radius when r=11 in? in3/in (Type an exact answer in terms of .)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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r°of a spherical balloon changes with the radius.
The volume V
a. At what rate (in /in) does the volume change with respect to the radius when r 11 in?
b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 11 to 11.2 in?
a. At what rate (in3/in) does the volume change with respect to the radius when r=11 in?
in3/in
(Type an exact answer in terms of .)
Transcribed Image Text:r°of a spherical balloon changes with the radius. The volume V a. At what rate (in /in) does the volume change with respect to the radius when r 11 in? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 11 to 11.2 in? a. At what rate (in3/in) does the volume change with respect to the radius when r=11 in? in3/in (Type an exact answer in terms of .)
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