Storage reservoir is continuously filled through a pipe

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SUMMARY

The discussion centers on calculating the time it takes for a circular storage reservoir, with a diameter of 20 feet and a height of 12 feet, to overflow when filled by a pipe delivering water at a rate of 2.2 cubic feet per second (cfs). The reservoir initially starts empty and has a pump that drains 350 cubic feet of water during the last 5 minutes of each 20-minute interval. The key to solving the problem lies in understanding the flow rates into and out of the tank and calculating the total volume of the tank.

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Homework Statement


A storage reservoir is continuously filled through a pipe delivering 2.2cfs. The reservoir is circular in shape with a diameter of 20 ft. The height of the tank is 12ft. A pump operates for the last 5 minutes of successive 20 minute intervals, draining out 350 cubic feet of water. Determine the time it takes for the tank to overflow, assuming that it is initially empty.



Homework Equations



v= delta x/ delta t

The Attempt at a Solution


WOW! way too much information! i would try and figure the velocity, but the 350 cubic feet has no time association.
 
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You're working with a flow rate (volume per unit time). You have a flow rate into the tank and a flow rate out of the tank. And you can calculate the volume of the tank.
 


did you read the whole problem? i think it is a little more than complicated than you make it sound.
 

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