Storage reservoir is continuously filled through a pipe

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A storage reservoir is filled at a rate of 2.2 cubic feet per second (cfs) and has a circular shape with a diameter of 20 feet and a height of 12 feet. The pump drains 350 cubic feet of water during the last 5 minutes of each 20-minute interval. To determine when the tank overflows, one must calculate the total volume of the tank and account for both the inflow and outflow rates. The discussion highlights the complexity of the problem, emphasizing the need to consider flow rates and volume calculations carefully. Ultimately, the problem requires a clear understanding of the relationship between inflow, outflow, and tank capacity.
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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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