Question
The volume
V=(4/3)πr3
of a spherical balloon changes with the radius.
a. At what rate
​(in3​/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?
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?
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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?