emely1054 emely1054
  • 21-06-2021
  • Mathematics
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I need Help Please asp!!!

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sqdancefan
sqdancefan sqdancefan
  • 21-06-2021

9514 1404 393

Answer:

  174.4 cm³

Step-by-step explanation:

The relevant volume formulas are ...

  V = πr²h . . . . . cylinder of radius r and height h

  V = 4/3πr³ . . . . sphere of radius r

__

Then the difference in volume between the cylinder and the 3 spheres is ...

  ΔV = π(2.5 cm)²(14 cm) -3(4/3π(2 cm)³) = π(87.5 -32) cm³ = 55.5π cm³

The volume of air is about 174.4 cm³.

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