I've been looking for a new live center but none of the ones I have looked at state a taper length so that leads me to the question on taper length. I got my lathe second hand and it came with a point and cup live center that isn't long enough to eject out of the tail stock quill, I didn't think my lathe did that until I purchased a 60 degree center and drill chuck which I tried and low and behold they ejected. I want to replace the point and cup with one that will eject as it's a pain to catch the edge of the one I have and drive it out. So is my original point and cup short for some reason?