How Many Earths Can Fit in the Sun?

To understand how many Earths can fit inside the Sun, we need to compare the volumes of the two celestial bodies. Here’s the step-by-step process:

Step 1: Determine the Volume of the Earth and the Sun

The formula for the volume of a sphere is:

V=43πr3V = \frac{4}{3} \pi r^3V=34​πr3

where $V$ is the volume and $r$ is the radius.

• Radius of Earth: Approximately 6,371 km
• Radius of Sun: Approximately 696,340 km

Step 2: Calculate the Volume of the Earth

Using the radius of the Earth:

VEarth=43π(6,371)3V_{\text{Earth}} = \frac{4}{3} \pi (6,371)^3VEarth​=34​π(6,371)3

VEarth≈43π(2.58×1011)V_{\text{Earth}} \approx \frac{4}{3} \pi (2.58 \times 10^{11})VEarth​≈34​π(2.58×1011)

VEarth≈1.08321×1012 km3V_{\text{Earth}} \approx 1.08321 \times 10^{12} \, \text{km}^3VEarth​≈1.08321×1012km3

Step 3: Calculate the Volume of the Sun

Using the radius of the Sun:

VSun=43π(696,340)3V_{\text{Sun}} = \frac{4}{3} \pi (696,340)^3VSun​=34​π(696,340)3

VSun≈43π(3.37×1017)V_{\text{Sun}} \approx \frac{4}{3} \pi (3.37 \times 10^{17})VSun​≈34​π(3.37×1017)

VSun≈1.412×1018 km3V_{\text{Sun}} \approx 1.412 \times 10^{18} \, \text{km}^3VSun​≈1.412×1018km3

Step 4: Compare the Volumes

To find out how many Earths can fit inside the Sun, divide the volume of the Sun by the volume of the Earth:

Number of Earths=VSunVEarth\text{Number of Earths} = \frac{V_{\text{Sun}}}{V_{\text{Earth}}}Number of Earths=VEarth​VSun​​

Number of Earths=1.412×10181.08321×1012\text{Number of Earths} = \frac{1.412 \times 10^{18}}{1.08321 \times 10^{12}}Number of Earths=1.08321×10121.412×1018​

Number of Earths≈1.302×106\text{Number of Earths} \approx 1.302 \times 10^6Number of Earths≈1.302×106

$\text{Number of Earths}\approx 1,302,000$

Conclusion

Approximately 1.3 million Earths can fit inside the Sun. This calculation highlights the immense size difference between our planet and the Sun.

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