Why, thank you! I took a 2.5"x2.5"x12" piece of cocobolo, mounted it between centers for roughing, turned a tenon, then mounted it in my Nova chuck.
I originally intended to drill the hole with a Forstner bit, but the bit wasn't long enough, and my extension wouldn't fit in a 3/4" hole. So, I used a spade bit.
Then I turned the piece and parted off, and repeated on what was left. For the second, I didn't want to lose the 1/2" or so from the point on the spade bit, so I bought a 3/4" Silver and Deming bit, and backed the tailstock off often to clear the shavings for the last of the boring, as the flute wasn't very long. Then I turned and parted again. Had I used my brain, I probably would have bought one of the 3/4" MT2 drill bits from CSUSA, as they're long enough to go the full depth without obscuring the bottom of the flute.
The tube breaking... an embarassing story. I used the air hose to blow it off before taking it in the house. I put my finger over the tube to protect it, but I took my finger off just a split-second before I shut the blowgun off. The tube shot up, bounced off of my leg, off of the lathe leg, off of the contrete, and on the LAST bounce, broke. Grr...
Both were sanded to 1200 grit, then burnished, waxed, and buffed. Boy, does that cocobolo get smooth... and the weight of the wood gives the vase a very substantial feeling in your hand. I like it. Here's the second vase that I turned:
The second, with much thicker walls, was substantially heavier than the first.