A small spherical ornament has a surface area of
square inches. What is its radius?
Options
A
5 inches
B
10 inches
C
25 inches
D
50 inches
Answer & Analysis
Answer
A
Analysis
Question Analysis
This is a reverse problem—you’re given the surface area and must work backwards to find the radius.
The main focus is solving an equation using the surface area formula.
Key Concept Explanation
Use the sphere surface area formula:
Solve for when .
Step-by-step Solution
1. Start with the formula:
2. Divide both sides by :
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