A spherical box has surface area 528 cm2. Find the radius of the spherical box.

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SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 2)
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  1. √(35) cm
  2. √(42) cm
  3. √(29) cm
  4. √(37) cm

Answer (Detailed Solution Below)

Option 2 : √(42) cm
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

Surface area of the spherical box = 528 cm2.

Formula Used:

Surface area of a sphere, A = 4πr2

Calculation:

Given the surface area, we can set up the equation:

4πr2 = 528

Solving for r:

⇒ r2 = 528 / (4π)

⇒ r2 = 528 / (4 × 22/7)

⇒ r2 = 528 × 7 / 88

⇒ r2 = 42

⇒ r = √42

The radius of the spherical box is √42 cm.

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