Newton's Gravity Defying Puzzle

This is a puzzle which supposedly defies physics (nothing defies physics). The goal of this puzzle is to remove the inner cylinder without touching the outer cylinder. To set this up, simply put the cylinders together and place it on a table. Now get the middle cylinder out! The pointed end of the inner cylinder makes pinching it impossible. Solution below. Good luck!

This is modeled based on the Newton's Gravity Defying Puzzle from Great Minds.

I was inspired to make this model after seeing the Mr. Puzzle video on it:

SOLUTION SPOILER

To solve the puzzle simply blow on the conic section and watch it fly out! This is an easy to repeat puzzle once you know the answer. If you blow hard enough you can get the inner cylinder to fly out super high! 

There is some interesting online discussion of how this works exactly (Physics Stack Exchange).