# Simple related rates question

1. Feb 27, 2006

### 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 im having trouble with, its setting up the question, ca any one help?

Thanks

2. Feb 27, 2006

### suspenc3

I used $$V=1/3 \\(pi) r^2h$$..and then proceeded to find $$V= \\(pi) r^3$$..I dont really know what to do now

Last edited: Feb 27, 2006
3. Feb 27, 2006

### 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.