Geometry

Question Analysis
This question is conceptual—it doesn’t give numbers, but tests your understanding of how changing dimensions affects volume.
The main focus is on recognizing how radius affects the cone's volume quadratically.

Key Concept Explanation
Volume of a cone:

where:
is the radius of the base
is the height of the cone
is approximately 3.1416 or can be left as π in terms of exact value
If height is constant and the radius is doubled, the square of the radius becomes . This quadruples the volume.

Step-by-Step Solution
Let original radius = , and height =
Original volume: