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rkennedy9064
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I need help understanding a problem for my homework assignment. I'm not sure how to set up the problem. If anyone could help I would greatly appreciate it.
Water is being pumped into an inverted conical tank at a constant rate. However, water is also leaking out of the tank at a constant rate of 0.01m^3/min. The tank is 6m tall and the radius at the top of the tank is 2 m. If the water level is rising at a rate of 0.2m/min at the moment when the height of the water is 2m, find the rate at which water is being pumped into the tank.
I know I need to find the rate of change, but I'm not sure how exactly I set up this problem.
Homework Statement
Water is being pumped into an inverted conical tank at a constant rate. However, water is also leaking out of the tank at a constant rate of 0.01m^3/min. The tank is 6m tall and the radius at the top of the tank is 2 m. If the water level is rising at a rate of 0.2m/min at the moment when the height of the water is 2m, find the rate at which water is being pumped into the tank.
Homework Equations
The Attempt at a Solution
I know I need to find the rate of change, but I'm not sure how exactly I set up this problem.