Cylinder Puzzle

I like and already have printed the original design "I Made One - Puzzle Series - The Gyro Puzzle" from Darak_Chen multiple times. Only problem is to print the sphere with a really smooth surface. So I thought, it should be possible to completely change the design. As base form I use a cylinder, and the round pen doesn't extrude the cylinder. With this design You can put the assembled puzzle flat on a table. All parts can be printed without any support!

The goal is, to fit the parts in the cylinder, and disassemble all parts afterwards, what is a bit more challenging, even if You know the right way.
If Your printer isn't well calibrated and produces elephants feet, the clearance may be a bit too low, so please deburr the parts with the sharp corners first. Otherwise You can scale the size of all parts 20% or 25% up, so this problem will also be solved.