Let's pretend the lithosphere of Earth were smoothed somehow to fit a perfect geoid and maintained in this shape; all the water would turn into a uniform layer flowing over the ground.

According to [wikipedia](https://en.wikipedia.org/wiki/Earth), sea water volume is 1.332$\times$109 km3, and this is 97.5% of all the hydrosphere waters, which gives us 1.366$\times$109 km3 of water total. Total Earth volume is estimated as 1.08321$\times$1012 km3.

If my calculations (hopefully) are correct, thickness of the water layer should be ~3 km.

I'm just curious about two things:

* Will any piece of ground ever be exposed over the water surface even for a short periods of time due to internal or external forces, such as moon gravity, centrifugal force or for any other reason?
* Will the mean temperature on a surface of this weird world be the same as a current mean surface temperature (288 K)?