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Related rates (cone) problem

__Question:__

"Water is leaking out of an inverted conical tank at a rate of http://gauss.vaniercollege.qc.ca/web...293a2d53f1.png cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height http://gauss.vaniercollege.qc.ca/web...bb7ea10481.png meters and the diameter at the top is http://gauss.vaniercollege.qc.ca/web...79a6da1411.png meters. If the water level is rising at a rate of http://gauss.vaniercollege.qc.ca/web...82809603d1.png centimeters per minute when the height of the water is http://gauss.vaniercollege.qc.ca/web...c403cfa681.png 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 http://gauss.vaniercollege.qc.ca/web...850f274371.png is volume of water, http://gauss.vaniercollege.qc.ca/web...b2f50cf0e1.png. 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 http://gauss.vaniercollege.qc.ca/web...5ef9f8a3d1.png."

I keep getting this wrong. I was hoping someone could point out my mistake. (My work is attached)

Any help would be greatly appreciated!

Thanks in advance!