Answer:
The new volume is 8 times smaller than the original volume
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
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so

we have
----> scale factor
substitute



therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter

the volume of the reduced sphere is
---> the radius is half the diameter

Divide the volumes
