The titanium shell of an SR-71 airplane would expand when flying at a speed exceeding 3 times the speed of sound. If the skin of the plane is 400 degrees C and the linear coefficient of expansion for titanium is 5x10^-6/C when flying at 3 times the speed of sound, how much would a 10-meter long (originally at 0C) rod portion (1-dimension) of the airplane expand? Write your final answer in centimeters and show all of your work.