Discover the Astonishing Answer: How Many Earths Can Fit Inside the Sun?

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SUMMARY

The discussion centers on calculating how many Earths can fit inside the Sun using the volume of both celestial bodies. The volume of the Sun is approximately 1.41 x 10^18 km³, while the Earth's volume is about 1.08 x 10^12 km³. By dividing the Sun's volume by the Earth's volume, the result is approximately 1.3 million Earths. The conversation also touches on the concept of sphere packing density, specifically referencing the most efficient packing density of approximately 0.9069.

PREREQUISITES
  • Understanding of sphere volume formula
  • Basic knowledge of astronomical measurements
  • Familiarity with density concepts
  • Introduction to sphere packing theory
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  • Research the mathematical derivation of the sphere volume formula
  • Explore the concept of sphere packing and its applications
  • Investigate the density of various materials in astrophysics
  • Learn about the comparative sizes of celestial bodies in the solar system
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Students in physics or astronomy, educators teaching celestial mechanics, and anyone interested in understanding the scale of the solar system.

torresmido
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Homework Statement



How many Earth's would fit inside the sun?

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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
 
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The density of the most efficient sphere packing is

[tex]\frac{\pi}{\sqrt{12}} \approx 0.9069[/tex]
 

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