Multiple choice

If the radius of the cone is doubled,the new volume will be____times the original volume

  1. 2 times

  2. 5 times

  3. 3 times

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

The volume of a cone is V = (1/3) * pi * r^2 * h. If the radius r is doubled to 2r, the new volume becomes (1/3) * pi * (2r)^2 * h = 4 * ((1/3) * pi * r^2 * h), which is 4 times the original volume.

AI explanation

The volume of a cone is given by the formula one third times pi times radius squared times height. If the radius is doubled, the new radius becomes 2r, so the new volume formula becomes one third times pi times the square of 2r times height. This simplifies to one third times pi times 4 times radius squared times height, which is exactly 4 times the original volume. The result is 4times.

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