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NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

Find the surface area of a sphere whose diameter is equal to 98 cm.

A
29,256 cm²
B
39,204 cm²
C
30,184 cm²
D
33,284 cm²
Result Summary
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APEDIA

NTPC Graduate Tier 1
2025 • 06 May, 2025 • Shift-1
Find the surface area of a sphere whose diameter is equal to 98 cm.
Correct Answer
30,184 cm²
Identifying Parameters: The problem provides the diameter of the sphere as 98 cm. Consequently, the radius (r) is half of this, which is 49 cm.Formula Applicati......
💡 Analysis & Explanation
Identifying Parameters
The problem provides the diameter of the sphere as 98 cm. Consequently, the radius (r) is half of this, which is 49 cm.
Formula Application
The total surface area of a perfect sphere is calculated using the formula 4πr².
Mathematical Execution
Substituting the values gives 4 × (22/7) × 49 × 49. Simplifying this yields 4 × 22 × 7 × 49 = 88 × 343 = 30,184.
Conclusion
The computed surface area is exactly 30,184 cm².