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How many Earths can fit into VY Canis Majoris, the largest known star?

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7.5477 \times 10^{10}

4.5477 \times 10^{10}

5.5477 \times 10^{10}

6.5477 \times 10^{10}

answer is A.

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Detailed Solution

The diameter of VY Canis Majoris is

155000

times that of our Earth.
Let assume that

n

is numbers of Earth can be fitted into VY Canis Majoris.
Now, we can relate the areas of Earth and VY Canis Majoris, as

π \times \frac{{(1555000 \times 12742)}^{2}}{4} = π \times \frac{12742^{2} n}{4}

\Rightarrow n = 7.5477 \times 1010

Therefore, we can conclude that

7.5477 \times 10^{10}

Earths can be fitted into VY Canis Majoris.

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