[HJain13]

From what I understood from the video, the surface irregularities a general pancake can have when stretched to dimensions of the earth would lead to 10km high feature; Given even Mt. Everest is <9km, I am not sure why Switzerland wouldn't fit the definition

edit: Typo

[pintxo]

If you stretch the pancake only to the dimensions of Switzerland, the vertical features would be a lot less high. And Switzerland has quite some height differences within a small area.

[cjwilliams]

Or a more extreme example: If you stretched the pancake to just the width of Everest clearly Everest would be less flat.

[brudgers]

The peaks measure ~9km above sea level. The deepest portions of the ocean add another 3-4km.

[tnli]

Not sure how to read this, but have you heard of the Mariana Trench?