Posted by **Salman** on Thursday, October 15, 2009 at 4:55pm.

Water is leaking out of an inverted conical tank at a rate of cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height meters and the diameter at the top is meters. If the water level is rising at a rate of centimeters per minute when the height of the water is meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

- Math -
**bobpursley**, Thursday, October 15, 2009 at 5:01pm
you are given dh/dt.

Relate volume to height in the conic tank.

Then take the derivative with respect to time, so you have dV/dt=f(h,t)

YOu also have a leak, so subtract that.

dV/dt- leak rate=f(h,t)

so solve for dV/dt

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