How does the volume of a sphere change when its radius is doubled?
Show answer & explanation
Correct answer: D
Explanation
The volume of a sphere is V = 4/3 × πr³.
This means the volume of the sphere is directly proportional to the cube of its radius.
If the radius doubles from r to 2r, the new volume becomes:
V' = 4/3 × π × (2r)³
= 4/3 × π × 8r³
= 8V
Therefore, the volume of the sphere will become 8 times the original volume.