The Sun's Density Compared to Earth's Density

What is the mean density ratio of the Sun to Earth based on the given data?

A. 3.3 x 10⁻⁶

B. 3.3 x 10⁻⁴

C. 3.3 x 10⁻²

D. 3.3

Answer:

The mean density ratio of the Sun to the Earth is 3.3 x 10⁻³.

When comparing the density of the Sun to that of the Earth, we can use the data provided to calculate the mean density ratio between the two celestial bodies.

The mass of the Sun is about 330 times heavier than the Earth, and it is also 100 times bigger in radius. This information allows us to calculate the volume of both the Sun and the Earth. Since both can be approximated as spheres, we can use the formula for the volume of a sphere, which is 4/3πr³.

Given that the Sun has a volume that is 1,000,000 times larger than Earth (100^3), we can determine the ratio of the mean density of the Sun to that of Earth. This ratio simplifies to 3.3 x 10⁻³, indicating that the average density of the Sun is smaller than Earth's.

Understanding the density ratio between these celestial bodies provides insight into their composition and structure. By exploring such scientific concepts, we can gain a deeper appreciation for the vastness and complexity of the universe.