The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 91.98 cm3
  2. 99.96 cm3
  3. 96.98 cm3
  4. 90.69 cm3

Answer (Detailed Solution Below)

Option 1 : 91.98 cm3
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Detailed Solution

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Given:

Edge of the cube = 5.6 cm

Formula used:

The volume of the sphere = (4/3) × π × r3

Calculation:

Diameter of the sphere = Edge of the cube

⇒ 2 × radius of sphere = 5.6 cm

⇒ The radius of sphere = 5.6/2 = 2.8 cm

The volume of the sphere = (4/3) × (22/7) × (2.8)3

⇒ 88/21 × 21.952

⇒ 91.98

∴ The volume of the largest sphere that can be taken out of the cube is 91.98 cm3

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