Question

the sun is approximately ten times the size of the planet jupiter.
if a basketball with a diameter of about 24 cm is used to represent the sun, which of the following should be used to represent jupiter?
a softball with a diameter of 8.9 cm
a golf ball with a diameter of 4.2 cm
a tennis ball with a diameter of 6.5 cm
a marble with a diameter of 2.5 cm

Explanation:

Step1: Calculate Jupiter's diameter in the model

Since the Sun is approximately ten times the size of Jupiter, if the Sun's model (basketball) has a diameter of \(d_{Sun} = 24\) cm, then Jupiter's model diameter \(d_{Jupiter}\) is \(d_{Jupiter}=\frac{d_{Sun}}{10}\).

$$d_{Jupiter}=\frac{24}{10}=2.4$$

cm.

Answer:

A marble with a diameter of 2.5 cm (closest to the calculated 2.4 cm)