It is estimated that the sun's core is about 1/5 of the radius of the sun (from [Wikipedia](http://en.wikipedia.org/wiki/Solar_core)). I know that the density of the plasma increases substantially the near the center, and that the volume of the core is 0.008 times the total volume. 

$$\frac {V\_{core}}{V\_{sun}}=\frac {4/3\pi (0.2)^3}{4/3\pi (1)^3}$$
$$\frac {V\_{core}}{V\_{sun}}=\frac {(0.008)}{(1)}$$

What is the mass of the core compared to the total mass?