SOLUTION: 3 tennis balls are packed tightly in a can.Express the volume of the unoccupied space inside the can, purely in terms of r.

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Question 188712: 3 tennis balls are packed tightly in a can.Express the volume of the unoccupied space inside the can, purely in terms of r.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3 tennis balls are packed tightly in a can.Express the volume of the unoccupied space inside the can, purely in terms of r.
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The can is a cylinder of radius r and h of 6r (3 balls stacked = 3d or 6r).
For the cylinder:
V+=+pi%2Ar%5E2%2Ah
V+=+pi%2Ar%5E2%2A6r
V+=+6pi%2Ar%5E3
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For the spheres:
V+=+3%2A%284%2Api%2Ar%5E3%2F3%29
V+=+4pi%2Ar%5E3
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Air space = 2pi%2Ar%5E3