The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25 centimeters represents the planet Jupiter. Find the scale (ratio) between Jupiter and the basketball. Then use this ratio to find the scaled diameter of the other planets. Enter these numbers into the table. (Saturn has been done for you.) Finally, choose a real-world spherical or nearly spherical object that matches the scaled diameter of each planet.
Saturn is shown as an example. To find what Saturn’s size would be after adjusting it to scale, follow these steps. Let the scaled diameter of Saturn be d centimeters. If Jupiter’s diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn’s diameter of 120,536 kilometers will be scaled to about 21 centimeters:

Since a basketball whose diameter is 25 centimeters represents the planet Jupiter, to find the scale (ratio) between Jupiter and the basketball, and then use this ratio to find the scaled diameter of the other planets, if Jupiter's diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn's diameter of 120,536 kilometers will be scaled to about 21 centimeters, the ratios are as follows:

1 centimeter = 0.00001 kilometers

25 = 0.000025

0.000025 = 142.984

1 = X

142.984 / 0.000025 = X

5,719,360,000 = X

Therefore, the Jupiter ratio is 1: 5,719,360,000.

Lanuel Lanuel · Answer 2 · 2022-05-23T15:23:34+02:00

Based on the calculations, the scale ratio is approximately equal to 1:5000.

What is scale factor?

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as planets in our solar system.

Scale factor:

25 cm = 142,984 kilometers

1 cm = X kilometer

Cross-multiplying, we have:

25X = 142,984

X = 5,719.36‬ kilometer.

Therefore, the scale ratio is approximately equal to 1:5000.

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