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A water tank is in the shape of an inverted cone with depth 10 meters and top radius 8 meters. Water is flowing into the tank at 0.6 cubic meters per minute but leaking out a rate of 0.001h? cubic meters per minute, where h is the depth of the water in the tank in meters. At what rate is the depth of the water changing? NOTE: Enter your answer in terms of h. Rate(h)= meters per minute %3D

A water tank is in the shape of an inverted cone with depth 10 meters and top radius 8 meters. Water is flowing into the tank at 0.6 cubic meters per minute but leaking out a rate of 0.001h? cubic meters per minute, where h is the depth of the water in the tank in meters. At what rate is the depth of the water changing? NOTE: Enter your answer in terms of h. Rate(h)= meters per minute %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A water tank is in the shape of an inverted cone with depth 10 meters and top radius 8 meters. Water is flowing into the tank at 0.6 cubic meters per minute but leaking out a rate of 0.001h2 cubic meters per minute, where h is the depth of the water in the tank in meters. At what rate is the depth of the water changing? NOTE: Enter your answer in terms of h. Rate(h)= meters per minute
Transcribed Image Text:A water tank is in the shape of an inverted cone with depth 10 meters and top radius 8 meters. Water is flowing into the tank at 0.6 cubic meters per minute but leaking out a rate of 0.001h2 cubic meters per minute, where h is the depth of the water in the tank in meters. At what rate is the depth of the water changing? NOTE: Enter your answer in terms of h. Rate(h)= meters per minute
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