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

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The discussion explores the hypothetical size of a water ball with the same mass as the Sun, estimated at 123 Earth diameters based on the Sun's mass of 2 x 10^30 kg. The calculation considers the uniform density of water at standard temperature and pressure (STP) and acknowledges that the Sun's density is slightly higher than that of water. The feasibility of such a water ball is dismissed, as it would either collapse under its own gravity or potentially undergo fusion if it reached sufficient temperature. The conversation emphasizes the ideal nature of the model rather than practical reality. Overall, the calculations provide an interesting perspective on mass and density comparisons in astrophysics.
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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?
 
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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.
 
Keep in mind I already used the word 'ideal'.
 
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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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