Water Ball with Sun's Mass - It's Diameter?

[zforgetaboutit]

(For recreation)

Assuming (from Wikipedia) that the mass of the Sun is 2 x $10^{30}$ Kg,

I wondered what would be the size of an equivalently-massed ideal ball of water at STP with uniform density?

I read there the Sun is about 109 Earth diameters. My water ball model calculation is ~123 Earth diameters.

Anybody care to please confirm/correct?

 

[mfb]

The number looks reasonable, as the density of the sun is a bit above the density of water.
It is impossible to have such a ball, of course.

 

[zforgetaboutit]

Keep in mind I already used the word 'ideal'.

 

[mfb]

Sure, I just wanted to mention it. Such a ball would probably collapse until fusion of its hydrogen atoms starts inside. Alternatively, if the object stays too cold to start fusion, it might become a white dwarf.