2. A tank of water in the shape of a square pyramid is leaking water at a constant rate of 4 ft3/hour. The base side of the tank is 6 ftand the height of the tank is 20 ft. At what rate is the depth of the water in the tank changing when the depth of the water is 12 ft? At what rate is the radius of the top of the water in the tank changing when the depth of the water is 12 ft?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. A tank of water in the shape of a square
pyramid is leaking water at a constant
rate of 4 ft3/hour. The base side of the
tank is 6 ftand the height of the tank is
20 ft.
At what rate is the depth of the water in
the tank changing when the depth of the
water is 12 ft?
At what rate is the radius of the top of
the water in the tank changing when the
depth of the water is 12 ft?
Enter your answer
Transcribed Image Text:2. A tank of water in the shape of a square pyramid is leaking water at a constant rate of 4 ft3/hour. The base side of the tank is 6 ftand the height of the tank is 20 ft. At what rate is the depth of the water in the tank changing when the depth of the water is 12 ft? At what rate is the radius of the top of the water in the tank changing when the depth of the water is 12 ft? Enter your answer
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