To have a surface area of 9π square units of a ball, what should be the diameter (in units) of the ball?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. 2.5
  2. 2
  3. 1.5
  4. 3

Answer (Detailed Solution Below)

Option 4 : 3
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Detailed Solution

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Given :

Surface area = 9π 

Formula Used : 

Surface area of sphere = 4πr2

Calculation : 

⇒ 9π = 4πr2

⇒ r2 = 9/4

⇒ r = 3/2 = 1.5

⇒ Diameter = 2r = 2 × 3/2 = 3 units

∴ The correct answer is 3.

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