A hollow sphere has an outer radius of 4 cm and inner radius of 1 cm. What is the volume of this hollow sphere?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 84π cm3
  2. 68π cm3
  3. 48π cm3
  4. 92π cm3

Answer (Detailed Solution Below)

Option 1 : 84π cm3
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Detailed Solution

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Given:

For hollow sphere,

Outer radius (ro) = 4 cm.

Inner radius (ri) = 1 cm.

Concept used:

Volume of hollow sphere

Volume of hollow sphere = 4/3π(ro3 - ri3)

Calculation:

Volume of hollow sphere = (4/3)π × (43 - 13)

⇒ (4/3)π × (64 - 1)

⇒ (4/3)π × 63

⇒ 84π

∴ The volume of the hollow sphere is 84π cm3.

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