QQuestionEarth Science
QuestionEarth Science
About how many Earths could fit inside the Sun?
A. 100
B. 1,000
C. 1,000,000
D. 10,000
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Answer
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Step 1:I'll solve this problem step by step, using precise volume calculations and LaTeX formatting.
Step 2:: Determine the volumes of Earth and the Sun
To compare how many Earths could fit inside the Sun, we'll calculate their respective volumes using the volume formula for a sphere: $$V = \frac{4}{3}\pi r^{3}
Step 3:: Gather radius data
- Earth's radius: $$6,371 \text{ km}
- Sun's radius: 696,340 \text{ km}
Step 4:: Calculate Earth's volume
V_{\text{Earth}} = \frac{4}{3}\pi(6,371)^{3} = 1.08 \times 10^{12} \text{ km}^{3}
Step 5:: Calculate Sun's volume
V_{\text{Sun}} = \frac{4}{3}\pi(696,340)^{3} = 1.41 \times 10^{18} \text{ km}^{3}
Step 6:: Calculate number of Earths that could fit in the Sun
\frac{V_{\text{Sun}}}{V_{\text{Earth}}} = \frac{1.41 \times 10^{18}}{1.08 \times 10^{12}} \approx 1,300,000
Final Answer
C. 1,000,000 Earths could fit inside the Sun.
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