Two similar spheres have diameters in the ratio of 5 : 2. What is the ratio of their volumes?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question tests the understanding that the volume ratio of two similar 3D objects is the cube of the ratio of their corresponding linear dimensions.
Key Concept Explanation
The volume ratio is calculated as , where is the linear scale factor.
Step-by-step Solution
1. Identify the linear scale factor:
2. Calculate the volume ratio:
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