A right conical tank wide at the bottom with height 6 meters and radius of 2 meters at the bottom is full of water. At some point water is leaking from the bottom of the tank at the rate of 2 cubic meters per second. At what rate is the height of the water inside the tank decreasing at the instant that the height of the water inside the tank is 3 meters?

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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A right conical tank wide at the bottom with height 6 meters and radius of 2 meters at the bottom is full of
water. At some point water is leaking from the bottom of the tank at the rate of 2 cubic meters per second.
At what rate is the height of the water inside the tank decreasing at the instant that the height of the water
inside the tank is 3 meters?
Transcribed Image Text:A right conical tank wide at the bottom with height 6 meters and radius of 2 meters at the bottom is full of water. At some point water is leaking from the bottom of the tank at the rate of 2 cubic meters per second. At what rate is the height of the water inside the tank decreasing at the instant that the height of the water inside the tank is 3 meters?
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