For the following problems, consider a pool shaped like the bottom half of a sphere, that is being filled at a rate of 25 ft3/min. The radius of the pool is 10 ft.  Find the rate at which the depth of the water is changing when the water has a depth of 1 ft.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 16SE: For the following exercises, consider the graph of fshown in Figure 15. 16.Estimate the average rate...
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For the following problems, consider a pool shaped like the bottom half of a sphere, that is being filled at a rate of 25 ft3/min. The radius of the pool is 10 ft. 

Find the rate at which the depth of the water is changing when the water has a depth of 1 ft.

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