Geometry

Question Analysis
This question assesses the fundamental condition for the similarity of two cones.
The main focus is identifying the correct relationship between the dimensions of similar cones.

Key Concept Explanation
Similar cones have the same shape, which means the ratio of their radii must be equal to the ratio of their heights.

Step-by-Step Solution
Option A: Same slant height doesn't guarantee similarity, so this is incorrect.
Option B: This is the correct condition as it ensures the cones have proportional dimensions.
Option C: Equal volumes don't imply similarity, as volumes can be the same for non - s...