A. 1/27

B. 1/18

C. 1/9

D. 1/3

Option A:

Step-by-step explanation:

The first step to solve this exercise is to find the scale factor from the radius of the small sphere to the radius of the large sphere. This is:

The second step is to find the scale factor from the volume of the small sphere to the volume of the large sphere. By definition, this will be:

Therefore, you must substitute the radius scale factor into the equation and then you  must evaluate in order to find the volume scale factor. This is:    

Then, the volume of the small sphere is times the volume of the large sphere.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

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