A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 4 feet per minute. Find the rate at which the area is changing at the instant the radius is 6 feet.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 49E: A lawn roller in the shape of a right circular cylinder has a radius of length 18 in. and a length...
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A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 4 feet per minute. Find the rate at which the
area is changing at the instant the radius is 6 feet.
When the radius is 6 feet, the area is changing at approximately
square feet per minute.
(Round to the nearest thousandth as needed.)
Transcribed Image Text:A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 4 feet per minute. Find the rate at which the area is changing at the instant the radius is 6 feet. When the radius is 6 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.)
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