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Three tennis balls are stored in a cylindrical can with
a height of 8 inches and a radius of 2 inches. Each
tennis ball has a radius of 1 inch. What is the
amount of volume not taken up by the tennis balls
in the can? Use 3.14 for n. Round your answer to the
nearest tenth.
4 in

Three tennis balls are stored in a cylindrical can with a height of 8 inches and a radius of 2 inches Each tennis ball has a radius of 1 inch What is the amount class=

Respuesta :

Answer:

87.9 in³

Step-by-step explanation:

Volume of the can

  • V = πr²h [volume of a cylinder]
  • V = 3.14 x 2 x 2 x 8
  • V = 3.14 x 32
  • V = 100.48 in³

Volume of 3 tennis balls

  • V = 4/3πr³ [volume of one sphere]
  • V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]
  • V = 4 x 3.14
  • V = 12.56 in³

Remaining space

  • Volume of can - Volume occupied by 3 tennis balls
  • 100.48 - 12.56
  • 87.92 in³ ⇒ 87.9 in³

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