Multiple choice

Mark the correct alternative of the following. If the height and radius of a cone of volume V are doubled, then the volume of the cone, is?

  1. $3$ V
  2. $4$ V
  3. $6$ V
  4. $8$ V
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume V = (1/3) * pi * r^2 * h. If r becomes 2r and h becomes 2h, new volume V' = (1/3) * pi * (2r)^2 * (2h) = (1/3) * pi * 4r^2 * 2h = 8 * ((1/3) * pi * r^2 * h) = 8V.

AI explanation

The volume of a cone is given by the formula V = (1/3) * pi * r^2 * h. If the height and radius are doubled, the new volume becomes (1/3) * pi * (2r)^2 * (2h). This simplifies to 8 * [(1/3) * pi * r^2 * h], which is 8V.

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