Geometry

Question Analysis
This question examines the similarity of spheres and focuses on finding the ratio of their volumes based on the ratio of their radii.
The main point is understanding that for similar spheres, the volume ratio is the cube of the radius ratio.

Key Concept Explanation
The volume formula for a sphere is .
For two similar spheres with radii and , the ratio of their volumes .
This is because the volume of a sphere depends on the cube of its radius, and when spheres are similar, the change in size is proportional in all directions.

Step-by-Step Solution
Let the radius of the small sphere be cm and the radius of the large sphere be