Multiple choice

If the radius and height of a cone are both increased by 100% , then its volume is increased by:

  1. $400$%
  2. $300$%
  3. $200$%
  4. $700$%
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D Correct answer
AI explanation

A 100% increase means both the radius and the height double, becoming 2r and 2h. Substituting these into the cone volume formula gives (1/3) * pi * (2r)^2 * (2h), which equals (8/3) * pi * r^2 * h. This new volume is 8 times the original volume, representing a 700% increase.

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