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The volume V =ar° of a spherical balloon changes with the radius. a. At what rate (ft /ft) does the volume change with respect to the radius when r= 2 ft? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 2 to 2.5 ft? a. At what rate (ft /ft) does the volume change with respect to the radius when r= 2 ft? (Type an exact answer in terms of 1.)

The volume V =ar° of a spherical balloon changes with the radius. a. At what rate (ft /ft) does the volume change with respect to the radius when r= 2 ft? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 2 to 2.5 ft? a. At what rate (ft /ft) does the volume change with respect to the radius when r= 2 ft? (Type an exact answer in terms of 1.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.7: Litereal Equations And Dimensional Analysis
Problem 24PPS
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The volume V= Ar° of a spherical balloon changes with the radius. a. At what rate (ft/ft) does the volume change with respect to the radius when r=2 ft? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 2 to 2.5 ft? a. At what rate (ft/ft) does the volume change with respect to the radius when r=2 ft? | ft°ft (Type an exact answer in terms of r.)
Transcribed Image Text:The volume V= Ar° of a spherical balloon changes with the radius. a. At what rate (ft/ft) does the volume change with respect to the radius when r=2 ft? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 2 to 2.5 ft? a. At what rate (ft/ft) does the volume change with respect to the radius when r=2 ft? | ft°ft (Type an exact answer in terms of r.)
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