A water tank is in the shape of a cone as shown. If water is being drained from the bottom at a rate of 5 ft /min when the water in the tank has height 6 ft , at what rate is the height of the water changing at this same instant? 10 Exit rate: 5 ft/min

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A water tank is in the shape of a cone as shown. If water is being drained from the bottom at a rate of
5 ft /min when the water in the tank has height 6 ft , at what rate is the height of the water changing at this
same instant?
10
h
Exit rate: 5 ft/min
Transcribed Image Text:A water tank is in the shape of a cone as shown. If water is being drained from the bottom at a rate of 5 ft /min when the water in the tank has height 6 ft , at what rate is the height of the water changing at this same instant? 10 h Exit rate: 5 ft/min
Suppose an open top box with a square base is to be made using 400 square inches of material (see
diagram). What dimensions would maximize the volume of the box?
Transcribed Image Text:Suppose an open top box with a square base is to be made using 400 square inches of material (see diagram). What dimensions would maximize the volume of the box?
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