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  • 19-01-2021
  • Mathematics
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What is the volume of a hemisphere with a diameter of 9.9 cm, rounded to the nearest tenth of a cubic centimeter?

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sqdancefan
sqdancefan sqdancefan
  • 19-01-2021

9514 1404 393

Answer:

  254.0 cm³

Step-by-step explanation:

The formula for the volume of a sphere in terms of its radius is ...

  V = (4/3)πr³

Then the formula for the volume of a hemisphere in terms of its diameter is ...

  V = (1/2)(4/3)π(d/2)³ = (π/12)d³

The volume of the hemisphere is ...

  V = (π/12)(9.9 cm)³ ≈ 254.024 cm³

The volume is about 254.0 cm³.

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