What is the volume of a sphere whose surface area is 124.74 cm2?

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DDA JE Civil Official Paper (Held On: 28 Mar, 2023 Shift 2)
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  1. 133.123 cm3
  2. 129.325 cm3
  3. 128.324 cm3
  4. 130.977 cm3

Answer (Detailed Solution Below)

Option 4 : 130.977 cm3
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Detailed Solution

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Given:

Surface area is 124.74 cm2

Formula Used:

Total Surface area of sphere = 4 π r2

Volume of sphere = (4/3)π r3

Radius of sphere = r

Calculation:

Total Surface area of sphere = 4 π r2

⇒ 4 π r = 124.74

⇒ r = √(124.74 × 7/88)

⇒ r = 3.15

According to the question,

Volume of sphere = (4/3)π r3 

⇒ (4/3) π × (3.15)3

⇒ 130.977 cm3

∴ The volume of sphere is 130.977 cm3

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