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CalculusQ&A LibraryThe volume V = 3 "Tr° of a spherical balloon changes with the radius. 3 a. At what rate (in°/in) does the volume change with respect to the radius when r=7 in? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 7 to 7.5 in?Start your trial now! First week only $4.99!*arrow_forward*

Question

The volume

V=(4/3)πr^{3}

of a spherical balloon changes with the radius.a. At what rate

(in^{3}/in)

does the volume change with respect to the radius when r=7 in?b. Using the rate from part

a,

by approximately how much does the volume increase when the radius changes from 7 to 7.5 in?Tagged in

Math

Calculus

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Transcribed Image Text

The volume V = 3 "Tr° of a spherical balloon changes with the radius. 3 a. At what rate (in°/in) does the volume change with respect to the radius when r=7 in? b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 7 to 7.5 in?