A company needs to design a conical cover with volume 100π cm³ and radius 5 cm. What is the minimum surface area (in cm²) of material required?
Options
A
B
C
D
Answer & Analysis
Answer
B
Analysis
Question Analysis
This real-world problem requires using both volume and surface area formulas to find minimal material.
Word problems often have hidden constraints (e.g., "cover" implies no base).
Key Concept Explanation
1. Use volume to find height:
2. Use height to find slant height:
3. Calculate lateral surface area:
Step-by-Step Solution
1. Find height:
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