Related Rates: Inverted Conical Tank Problem

[suspenc3]

Water is leaking out of an inverted conical tank at a rate of 10000cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank is 6m high and the diameter at the top is 4m. If the water level is rising at a rate of 20cm/min when the height of the water is 2m, find the rate at which the water is being pumped into the tank.

Its not the math I am having trouble with, its setting up the question, ca anyone help?

Thanks

 

[suspenc3]

I used $$V=1/3 \\(pi) r^2h$$..and then proceeded to find $$V= \\(pi) r^3$$..I don't really know what to do now

 

[0rthodontist]

What is v as a function of h?
dh/dt = 20
h = 200
dv/dt = ?

Then algebra will get you to the rate at which the water is being pumped in.