It can be shown that when the water level is h meters from the bottom of the tank, (see the figure), the volume V of the water in the tank is given by the equation 4 V = 327 (6 – h) 27 Suppose the water leaks out of the tank at a constant rate of 0.4 cubic meters per minute, (i.e. = -0.4). Calculate the rate at which the water level h is falling, (i.e. calculate ), when it is 2 meters deep, (i.e. when h = 2 meters). You must write down the steps that lead to your answer. A correct answer that is not supported by any work will earn NO points. %3D dt

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 12A
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D Page view
A Read aloud V Draw
9 Highlight
1
3. A water tank has the shape of a circular right cone with base radius 4 meters and height 6 meters.
It can be shown that when the water level is h meters from the bottom of the tank, (see the figure),
the volume V of the water in the tank is given by the equation
47
V = 327 -
27
(6 – h)
Suppose the water leaks out of the tank at a constant rate of 0.4 cubic meters per minute, (i.e.
dV
= -0.4). Calculate the rate at which the water level h is falling, (i.e. calculate d), when it is 2
dt
meters deep, (i.e. when h = 2 meters). You must write down the steps that lead to your answer. A
correct answer that is not supported by any work will earn NO points.
Quiz6.pdf
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Open file
Module 4 Homewo..docx
Model Career Essay.pdf
PDF
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...
...
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Transcribed Image Text:D Page view A Read aloud V Draw 9 Highlight 1 3. A water tank has the shape of a circular right cone with base radius 4 meters and height 6 meters. It can be shown that when the water level is h meters from the bottom of the tank, (see the figure), the volume V of the water in the tank is given by the equation 47 V = 327 - 27 (6 – h) Suppose the water leaks out of the tank at a constant rate of 0.4 cubic meters per minute, (i.e. dV = -0.4). Calculate the rate at which the water level h is falling, (i.e. calculate d), when it is 2 dt meters deep, (i.e. when h = 2 meters). You must write down the steps that lead to your answer. A correct answer that is not supported by any work will earn NO points. Quiz6.pdf POF Open file Module 4 Homewo..docx Model Career Essay.pdf PDF Open file ... ... Open file
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