A planet composed of one ball of pure water, the mass of Earth. WARNING, EXTREME OVERSIMPLIFICATIONS
Mass of Earth (via Wikipedia): 5.9736E+27 grams.
1 gram of water=1 cc (definition)
Volume of that mass of water is the same, in cubic centimeters. (simplification: ignoring volume effects caused by phase changes and compression of water under self-gravity)
This volume forms a sphere 1.126E+09 centimeters in radius, or, dividing by 100,000, a ball with a radius of 11256 kilometers.
What's the water pressure at the center? Check out this handy little calculator:
http://hyperphysics.phy-astr.gsu.edu/Hbase/pman.html Water is 1g/cm2, and the column height is 11256000 meters. We get 1.10E+08 kPa, or 1.10E+05 MPA, or 110 GPa.
Here's where it gets interesting. There are different phases of water. Gas, liquid and ice. There are fifteen kinds of ice (!), most formed under huge pressures. Now, we're going to assume that the core of this ball of water is at least somewhat warm still. Given the phase diagram of water,
http://upload.wikimedia.org/wikipedia/commons/d/de/WaterPhaseDiagram.png only runs out to 600k (430C), we'll use that as our internal core temp.
At the center of our hypothetical ball of water, the center is crushed down into Ice X, which forms at 105GPa, or about the first 500km of the core (measured from the center going out) Above that is Ice VII, lasting until 1GPa, a pressure reached by a water column 102km high.
So, you have a ball of mostly ice, with a 100km skin of ocean on top. And, remember, there are massively gross oversimplifications here.
All you real scientist types, please don't yell at me for the gross oversimplifications here. Yes, I know that water density changes at depth, and that Ice VII and Ice X are far denser than 1g/cm2. But this is a wiki+spreadsheet kind of computation.