Geometry

Question Analysis
This question involves calculating the combined volume of a cube and a hemisphere.
The main focus is on correctly applying the volume formulas for both shapes and understanding the relationship between the dimensions of the cube and the hemisphere.

Key Concept Explanation
The volume formula for a cube is , where is the side length of the cube.
The volume formula for a sphere is , and for a hemisphere, which is half of a sphere, .

Step-by-Step Solution
Calculate the volume of the cube: Given cm, using the formula , we have .
Calculate the volume of the hemisphere: Since the diameter of the hemisphere is equal to the side length of the cube ( cm), the radius

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