When we look up in the sky the Sun appears about as big as the moon; however,we know that the Sun is much further away.Given that the radius of the Sun is about 7 $\times$10⁸ m and that the radius of the moon is about 2 $\times$ 10⁶ m,calculate approximately the number of times the moon could fit inside the Sun. A)4 $\times$ 10² B)4 $\times$ 10⁶ C)4 $\times$ 10⁷ D)1 $\times$ 10⁵ E)2 $\times$ 10⁵

Question

Quizplus · Accepted Answer

The volume of a sphere is given by $V = \frac{4}{3}\pi r^3$. The ratio of the volumes of the Sun to the Moon is $\left(\frac{700,000}{1,737}\right)^3$. Simplifying this gives approximately $4 \times 10^{17}$, indicating the Sun can contain around 400 million Moons.

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