Question

the equatorial radius of earth is approximately 6 × 10³ km, while the equatorial radius of saturn is approximately 6 × 10⁴ km. which of the following is true?

a. the equatorial radius of saturn is approximately ten times that of earth.

b. the equatorial radius of earth is approximately one hundred times that of saturn.

c. the equatorial radius of saturn is approximately one hundred times that of earth.

d. the equatorial radius of earth is approximately ten times that of saturn.

Explanation:

Step1: Set up the ratio formula

Let $r_{E}=6\times 10^{3}$ km be Earth's equatorial radius and $r_{S}=6\times 10^{4}$ km be Saturn's equatorial radius. We want to find $\frac{r_{S}}{r_{E}}$.

Step2: Substitute the values into the ratio

$\frac{r_{S}}{r_{E}}=\frac{6\times 10^{4}}{6\times 10^{3}}$

Step3: Simplify the ratio

Using the rule $\frac{a\times10^{m}}{a\times10^{n}} = 10^{m - n}$ ($a
eq0$), we have $\frac{6\times 10^{4}}{6\times 10^{3}}=10^{4 - 3}=10$.

Answer:

A. The equatorial radius of Saturn is approximately ten times that of Earth.