The settings i used where as follows:

General: PLA, 0.4mm nozzle, vase mode enabled, 0.3mm layer height, three bottom  layers

Speed: 200mm/s external perimeters, 222mm/s solid infill, 120mm/s top solid infill, 40mm/s first layer, and 16 mm3/s max flow rate.

Sorry for the terrible photo!

-Update- 

I designed a version that is way stiffer (not floppy like this one)

Link to new garbage bin:

[https://www.printables.com/model/665632-strong-vase-mode-garbage-bin-can](https://www.printables.com/model/665632-strong-vase-mode-garbage-bin-can)

-Update_

I added a version with a chamfered base.