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Yeal well never underestimate the value of substitution. :-)
I am sorry mikau, you were right. I found my earlier mistake that made me put my foot in my mouth.
WHEW! Nevermind I just got it. I think what helped is I created a constant C to equal (300/pi r^2)^2 and just kept the fact that it was a constant in mind. Then the problem becomes:
Ok, I'm supposed to find the value of R for which dA/Dr is zero. (a turning point on the graph)