I need some help. I have tried working this problem and can't get it.

A class is building a scale model of the planets based on the model of Mercury having a radius 0.5cm. What is the diameter of Saturn for this model?

0.5

To find the diameter of Saturn for this scale model, you need to know the scale factor. The scale factor is the ratio between the size of the real object and the size of the model. In this case, the scale factor is not given, so we need to assume one. Let's assume that the scale factor is 1:100.

To calculate the diameter of Saturn for this model, we can use the following steps:

1. Find the diameter of Mercury in the model: Since the radius of Mercury in the model is 0.5 cm, the diameter is 2 times the radius, which is 0.5 cm × 2 = 1 cm.

2. Determine the diameter of Saturn in the real world: To find the diameter of Saturn in the real world, we need to multiply the diameter of Mercury in the model by the scale factor. Using the assumed scale factor of 1:100, we multiply 1 cm × 100 = 100 cm.

Therefore, according to this scale model with a scale factor of 1:100, the diameter of Saturn would be 100 cm.