A sphere and a cube have the same volume. If the edge length of the cube is units, what is the radius of the sphere in terms of ?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves comparing volumes of a sphere and a cube.
The main focus is on equating their volumes and solving for the sphere’s radius.
Key Concept Explanation
Volume of a cube: (where is edge length).
Set and solve for .
Step-by-Step Solution
1. Volume of the cube: .
2. Set equal to sphere’s volume:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.