Today would have been the great Diahann Carroll's 87th birthday. Listen to Diahann discuss the joy of singing on Broadway. [VID: Interview with Diahann Carroll. Transcript: It was a moment in life that you'll never recapture, hearing songs written for you by Richard Rodgers, that you will have the opportunity to introduce to the world and perform eight times a week in the theater. I remember what I wore, I remember my hair, and I remember his office and that incredible sound of that piano. It wa