Discover the Astonishing Answer: How Many Earths Can 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

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

 

[Moetasim]

or not.

Your approach is correct! By using the volume formula for spheres, you were able to determine that approximately 1 million Earths can fit inside the sun. This is a staggering number and highlights the vast difference in size between the two objects. It also emphasizes the incredible amount of mass and gravitational pull that the sun possesses. However, it is important to note that this calculation is based on the assumption that both the sun and the Earth are perfect spheres, which is not entirely accurate. Nevertheless, this is a good approximation to understand the relative sizes of these celestial bodies. Great job on your solution!