A pebble is dropped into a calm pond, causing ripples in the form of circle. The radius r of the ripple is increasing at a constant rate of 2 ft/sec. When radius is 3 ft., what rate is the area of the disturbed water is changing?

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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A pebble is dropped into a calm pond, causing ripples in the form of circle.
The radius r of the ripple is increasing at a constant rate of 2 ft/sec. When
radius is 3 ft., what rate is the area of the disturbed water is changing?
Transcribed Image Text:A pebble is dropped into a calm pond, causing ripples in the form of circle. The radius r of the ripple is increasing at a constant rate of 2 ft/sec. When radius is 3 ft., what rate is the area of the disturbed water is changing?
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