If Saturn floats, then what happens?

[godwinfh]

As a fun teaching tool for several areas of math and science, imagine that happening. The planet floats in water. What happens next and how does it look? Has anybody thought this through and made an animated video?
First fill your tub to about the 50,000 mile mark. Surprise: most of the water turns into exotic high-density ice, due to the enormous hydrostatic pressure (assuming you have gravity, which you need to keep the water in place.) This happens even if the water’s boiling hot.
So Saturn starts off sitting high and mostly dry, unless you crank your gravity down a lot.
So in it (he?) goes. Briefly we’re distracted by the gorgeous shooting-star effect of the rings and the dozen or two moons burning up in our air and making incandescent splashes as they plunge to their own tiny dooms.
Around the planet a tidal wave higher than Earth rises and radiates outward. Then we see all kinds of fizzing, bubbling and popping, on a majestically slow (planetary) scale. A shock wave of mist swells outward, moving at the speed of sound in the gas and taking hours to envelop the planet. I suppose eventually we're left with the stone core.
Somebody should explore this idea further!
Felix, New Market, Alabama

 

[Math Is Hard]

Saturn floats in a big enough bathtub, but leaves a ring.

 

[MadScientist 1000]

Hypothetically, if we could find a tub big enough to float Saturn in, it would collapse under its own gravitational pull into a star or white dwarf depending on the SM (solar mass) of the tub and the water.

Interesting idea though godwinfh