A spherical balloon is deflating and its radius r is decreasing at the rate of 5 mm per minute. Assuming that the balloon retains its spherical shape, at which rate is its 4 volume decreasing when its radius is 90 mm. (The volume of a sphere is given by V =ar where r is the radius of the sphere).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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A spherical balloon is deflating and its radius r is decreasing at the rate of 5 mm
per minute. Assuming that the balloon retains its spherical shape, at which rate is its
4
volume decreasing when its radius is 90 mm. (The volume of a sphere is given by V =ar®
where r is the radius of the sphere).
Transcribed Image Text:A spherical balloon is deflating and its radius r is decreasing at the rate of 5 mm per minute. Assuming that the balloon retains its spherical shape, at which rate is its 4 volume decreasing when its radius is 90 mm. (The volume of a sphere is given by V =ar® where r is the radius of the sphere).
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