Sphere a has a diameter of 6 and is dilated by a scale factor of 2 to create sphere b. what is the ratio of the volume of sphere a to sphere b?

1: 2
6: 12
1: 8
36: 144

1:8

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z > the scale factor

VA ---> volume of the sphere A

VB ---> volume of the sphere B

so

we have

substitute

That means> The volume of the sphere B is 8 times the volume of the sphere A

therefore

The ratio of the volume of sphere A to sphere B is

yo answer should be 6 if im not mistaken

step-by-step explanation: