What are the odds with my credentials?

<p>Firstly, I'd like to say that I'm a junior. In addition to having a 3.9 GPA (which will definitely become a 4.0 when I get my report card back in 2-3 weeks), I have an 1880 and 2220 on my first and second SAT, respectively (the latter will obviously be the only score sent, however). I will take the SAT II Math IC and SAT II Physics next week and next October, respectively. I have volunteered at a hospital in the summer for the last two years. When this is combined with my other volunteer works, I will have about 1000 volunteer hours by the time I do applications. I am currently taking AP Physics B, but will take AP Bio and AB Calculus senior year. I intend to join 2-3 altruistic clubs at the start of the school year. I Latin dance, swim, and play judo at different intervals of the year. If it makes any difference, I am also a Caucasian male and plan to become a Radiologist in the future. With all this taken into account, do you believe I have a chance at being accepted into Columbia, Cornell, or Princeton.</p>