If the radius of a sphere is doubled, then the volume of the sphere becomes _____ times the previous volume.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. eight.
We know,
Volume of sphere = (4/3)πr3
When the radius of the sphere is r.
Volume = (4/3)πr3
when the radius is doubled and becomes 2r.
Volume = (4/3)π(2r)3
⇒ 8 × (4/3)πr3
Hence, the volume of the sphere becomes eight times the previous volume.