Geometry

Question Analysis
This question involves comparing the volumes of two cones based on the relationship between their radii while keeping the height constant.
The main focus is on understanding how the change in radius affects the volume of the cone using the volume formula .

Key Concept Explanation
The volume formula of a cone is .
When the height is the same for two cones, the ratio of their volumes is related to the ratio of the squares of their radii.
That is, if and , then .

Step - by - Step Solution
Let the radius of cone B be , then the radius of cone A is , and the height of both cones be .
The volume of cone B, .
The volume of cone A,

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