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OpenStudy (anonymous):
a cylindrical water trough has a diameter of 6 feet and a height of 2 feet. it is being filled at the rate of 4 ft^2/min. how fast is the water level rising when the water is 1 foot deep?
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ganeshie8 (ganeshie8):
\(V = \pi r^2 h = 9 \pi h\) differentiate both sides and plugin the given values (note that typo in in question for flow rate - it should be 4 ft^3/min)
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