Multiple choice

If the radius and the height of a right circular cylinder are doubled, its volume becomes ________.

  1. $2$ times
  2. $3$ times
  3. $4$ times
  4. $8$ times
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume V = pi * r^2 * h. New volume V' = pi * (2r)^2 * (2h) = pi * 4r^2 * 2h = 8 * (pi * r^2 * h) = 8V.

AI explanation

The volume of a right circular cylinder is given by the formula V = pi*r^2*h. If the new radius is 2r and the new height is 2h, the new volume becomes V = pi*(2r)^2*(2h) = 8*pi*r^2*h. This shows the new volume is exactly 8 times the original volume.

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