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

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 1)
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  1.  29,256 cm2
  2. 33,284 cm2
  3.  39,204 cm2
  4. 30,184 cm2

Answer (Detailed Solution Below)

Option 4 : 30,184 cm2
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Detailed Solution

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Given:

Diameter of the sphere = 98 cm

Radius (r) = Diameter ÷ 2 = 98 ÷ 2 = 49 cm

Formula used:

Surface Area of a Sphere = 4 × π × r2

Where, r = radius

Calculations:

Surface Area = 4 × π × r2

⇒ Surface Area = 4 × 22/7 × 492

⇒ Surface Area = 4 × 22/7 × 2401

⇒ Surface Area = 30,184 cm2

∴ The correct answer is option (4).

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