Water is leaking out of an inverted conical tank...

Question

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. Note: Let "R" be the unknown rate at which water is being pumped in. Then you know that if  is volume of water, . Use geometry (similar triangles?) to find the relationship between the height of the water and the volume of the water at any given time. Recall that the volume of a cone with base radius r and height h is given by .



Note: The answer is not 2.9 * 10^6

Answer 1

You do not have a single number in the statement of the problem,

making it impossible to solve.

Secondly, I solved this problem with you the other day, when you had omitted

the rate at which the height changes, and I had said to call that quantity K.

Then you plug that value into the formula I gave you to find your answer.

So either you post the ENTIRE AND COMPLETE statement of the problem

including ALL of the data that is given, or you plug in that value I asked you

to find your answer.

You did neither.