Multiple choice

If radius of a sphere is doubled, how many times its volume will be affected

  1. 2 times

  2. 4 times

  3. 6 times

  4. 8 times
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The volume of a sphere is given by V = (4/3) * pi * r^3. If the radius r is doubled to 2r, the new volume becomes (4/3) * pi * (2r)^3 = (4/3) * pi * 8 * r^3, which is 8 times the original volume.

AI explanation

The volume of a sphere is given by the formula V = 4/3 * pi * r^3, meaning volume is proportional to the cube of the radius. If the new radius is 2r, the new volume is 4/3 * pi * (2r)^3, which equals 8 * (4/3 * pi * r^3). Therefore, the volume becomes 8 times the original volume.

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