The ratio from the volume of sphere A to sphere B is 1/8. Then the correct option is C.
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B.
The radius of sphere A is 3. Then the radius of sphere B is 6.
The volume of a sphere is given by
[tex]\rm Volume \ of \ sphere = \dfrac{4}{3} \pi r^3[/tex]
Then the ratio from the volume of sphere A to sphere B will be
[tex]\rm \dfrac{\rm Volume \ of \ sphere\ A }{Volume \ of \ sphere\ B} = \dfrac{r_A^3}{r_b^3}\\\\\\\dfrac{\rm Volume \ of \ sphere\ A }{Volume \ of \ sphere\ B} = \dfrac{3^2}{6^3}\\\\\\\dfrac{\rm Volume \ of \ sphere\ A }{Volume \ of \ sphere\ B} = \dfrac{1}{8}[/tex]
The ratio from the volume of sphere A to sphere B is 1/8.
Thus, the correct option is C.
More about the dilation link is given below.
https://brainly.com/question/8652140
