Air is being pumped into a sperical balloon so that its volume increases at a 12. rate of 16 cubic feet per minute. How quickly is the radius increasing when the radius is 4 feet?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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Solve the following word questions.

12. in) Air is being pumped into a sperical balloon so that its volume increases at a
rate of 16 cubic feet per minute. How quickly is the radius increasing when the radius is 4
feet?
A ladder 13 ft. long rests against a vertical wall. If the bottom of the ladder
13
slides away from the wall at a rate of 3 ft./sec., how fast is the top of the ladder sliding down
the wall when the bottom of the ladder is 5 ft. from the wall?
Transcribed Image Text:12. in) Air is being pumped into a sperical balloon so that its volume increases at a rate of 16 cubic feet per minute. How quickly is the radius increasing when the radius is 4 feet? A ladder 13 ft. long rests against a vertical wall. If the bottom of the ladder 13 slides away from the wall at a rate of 3 ft./sec., how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft. from the wall?
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