Sphere X has surface area 64π cm². Sphere Y has radius twice that of Sphere X. What is Sphere Y's surface area?
Options
A
128π cm²
B
256π cm²
C
512π cm²
D
1024π cm²
Answer & Analysis
Answer
B
Analysis
Question Analysis
This problem examines understanding of how surface area scales with radius changes.
Key Concept Explanation
Critical concept:
- Surface area scales with the square of the radius ratio .
- If radius doubles, surface area becomes times larger
Step-by-Step Solution
1. Find radius of Sphere X:
(r is non-negative)
2. Determine Sphere Y's radius:
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