SOLUTION: A water has the shape of a right cylindrical tank with a radius of 1 ft and a height of 6 ft is being drained. How fast is water draining out of the tank (in ft^3/min) if the water

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Question 1029965: A water has the shape of a right cylindrical tank with a radius of 1 ft and a height of 6 ft is being drained. How fast is water draining out of the tank (in ft^3/min) if the water level is dropping at 8 in/min?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
How many cubic feet per vertical inch of the tank?

6%2A%28pi%2A1%5E2%29
6pi, cubic feet of water to begin.

The ratio of length to volume is 6pi%28cubicfeet%2F%286feet%29%29=pi%28cubicfeet%2Ffoot%29

Find the drain rate.
8%28inch%2Fminute%29%2A%281%2F12%29%28foot%2Finches%29pi%28cubicfeet%2Ffoot%29
8pi%2F12 cubic feet per minute
highlight%282pi%2F3%29 cubic feet per minute