Geometry

Question Analysis
This question focuses on the similarity of cones in a real - world (liquid - holding) scenario and uses the ratio of their radii to find the volume of the large cone, then calculates the difference in volume between the two cones.
The main focus is applying the volume - ratio formula for similar solids and then performing a subtraction operation to find the volume difference.

Key Concept Explanation
For similar cones, if the ratio of their radii (a corresponding linear dimension) is , then the ratio of their volumes .
Since the volume of a cone , and in similar cones, the radius and height change proportionally, we can use the radius ratio to find the volume relationship.

Step-by-Step Solution
Let the radius of the small cone be and the radius of the large cone be , with .
The volume of the small cone milliliters.
Since

Click "Show Answer" to reveal the answer and analysis