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A cylindrical water trough has a diameter of 6 ft and a height of 2 feet. It is being filled at the rate of 4 ft^3/min, so how fast is the water level rising when the water is 1 foot deep?
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the radius is 6^2 pi feet. it's filling with 4 ft^3/min \[\large \frac{ 4ft^3 /\min}{ 6^2 \pi ft^2}=0.03537 ft/\min\]
oh wait i messed up the area
\[\large \frac{ 4ft^3 /\min}{ 3^2 \pi ft^2}=0.1415 ft/\min\]
i need fraction form :)
\[\large \frac{ 4 }{ 9 \pi }\]
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thank you so much and i have another question like it ok?
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