A hot air balloon is being inflated. If its volume is increasin rate of 548 cubic feet per second, what is the rate, in feet second, at which the radius of the balloon is changing wh radius is 6 feet? Give an exact answer. Remember that the volume of a sphere is V 473

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter1: Equations, Inequalities, And Mathematical Modeling
Section: Chapter Questions
Problem 21T: A basketball has a volume of about 455.9 cubic inches. Find the radius of the basketball (accurate...
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A hot air balloon is being inflated. If its volume is increasing at a
rate of 548 cubic feet per second, what is the rate, in feet per
second, at which the radius of the balloon is changing when the
radius is 6 feet?
Give an exact answer.
Remember that the volume of a sphere is V
=
Tr³.
Transcribed Image Text:A hot air balloon is being inflated. If its volume is increasing at a rate of 548 cubic feet per second, what is the rate, in feet per second, at which the radius of the balloon is changing when the radius is 6 feet? Give an exact answer. Remember that the volume of a sphere is V = Tr³.
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