How many Earths fit inside the sun?

[torresmido]

Homework Statement

How many Earth's would fit inside the sun?

Homework Equations

The Attempt at a Solution

I found the volume of the sun and the Earth (Using the sphere volume formula) and devided the sun's volume by the Earth and got 10^6...I was wondering whether this is the best solution

 

[blindside]

The density of the most efficient sphere packing is

$$\frac{\pi}{\sqrt{12}} \approx 0.9069$$