As an expert in astrophysics, I can provide you with an estimation of how many Earths could fit inside Neptune. Neptune is the fourth largest planet in our solar system, and it's significantly larger than Earth. To determine how many Earths could fit inside Neptune, we would compare their volumes.
The volume of a sphere (which is the shape of a planet) is given by the formula \( V = \frac{4}{3} \pi r^3 \), where \( r \) is the radius of the sphere. The radius of Neptune is approximately 24,622 kilometers, and Earth's radius is about 6,371 kilometers.
Using these radii, we can calculate the volumes of both planets and then divide Neptune's volume by Earth's volume to find out how many Earths could fit inside Neptune.
Neptune's volume:
\( V_{Neptune} = \frac{4}{3} \pi (24,622 km)^3 \)
Earth's volume:
\( V_{Earth} = \frac{4}{3} \pi (6,371 km)^3 \)
Now, we divide Neptune's volume by Earth's volume to find the ratio:
\( \text{Ratio} = \frac{V_{Neptune}}{V_{Earth}} \)
After performing these calculations, we find that approximately 58 Earths could fit inside Neptune.
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