A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant rate of 4 cubic feet per minute. At which depth 3 feet, 4 feet or 5 feet was the depth of the water changing most rapidly?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 73E
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Related Rates Application Setup 2 continued
A water tank has the shape of an inverted circular cone
(point down) with a base of radius 6 feet and a depth of
8 feet. Suppose that water is being pumped into the
tank at a constant rate of 4 cubic feet per minute.
r
At which depth 3 feet, 4 feet or 5 feet was the depth of
the water changing most rapidly?
le
Transcribed Image Text:Related Rates Application Setup 2 continued A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet and a depth of 8 feet. Suppose that water is being pumped into the tank at a constant rate of 4 cubic feet per minute. r At which depth 3 feet, 4 feet or 5 feet was the depth of the water changing most rapidly? le
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