It is found that water is being pumped at a rate of 838095.24 cm³/min using implicit differentiation.
A conical tank's volume (V) is calculated as follows:

where the height is h and the radius is r.
When we use implicit differentiation, we get the following:

We have that:
Height of 600 cm, thus h = 600 cm
Diameter of 400 cm, thus r =
= 200 cm
Water level rising at a rate of 20 cm/min, thus
Since the radius is constant, 
Pumping water into the tank happens at a rate
of







Therefore, the rate of water pumping into the tank is 838095.24 cm³/min.
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