On average,Saturn is 10 AU from the Sun.What is the approximate orbital period of Saturn?

Question

Quizplus · Accepted Answer

The orbital period of a planet can be calculated using Kepler's Third Law, which states that the square of the orbital period is proportional to the cube of the semi-major axis of the orbit. Assuming that 1 AU corresponds to an orbital period of 1 year, we can calculate the orbital period of Saturn as follows: 
Orbital Period^2 = (Distance from Sun)^3
Orbital Period^2 = (10 AU)^3
Orbital Period^2 = 1000
Orbital Period = √1000 (taking only the positive root as the orbital period is a positive quantity)
Orbital Period ≈ 31.6 years, which rounds up to 32 years. Therefore, the best choice is B) 32 years.

On Average,Saturn Is 10 AU from the Sun