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Find the volume of a sphere of surface area 100 cm².
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Find the volume of a sphere of surface area 100 cm².

User Amal Nandan
by
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1 Answer

4 votes

Answer:

≈ 94 cm³

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Surface area of a sphere:

  • A = 4πr²

Find the radius:

  • 100 = 4πr²
  • πr² = 25
  • r² = 25/π
  • r = 5/√π
  • r = 2.82 cm

Find the volume:

  • V = 4/3πr³
  • V = 4/3*π*2.82³ ≈ 94 cm³
User Kathrine
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