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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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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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