SOLUTION: A manufacturer of tennis balls sells them in cylindrical containers. Each container can hold 3 balls. Each ball has a volume of 36pie cm cubed. What volume remains unoccupied i

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Question 966745: A manufacturer of tennis balls sells them in cylindrical containers. Each container can hold 3 balls. Each ball has a volume of 36pie cm cubed.
What volume remains unoccupied inside the container ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The can that holds the balls is a cylinder with the diameter equal to the diameter of the ball and the height equal to 3 diameters.
Find the diameter of the ball.
V%5Bb%5D=%284%2F3%29pi%28D%2F2%29%5E3
36pi=%28pi%2F6%29D%5E3
D%5E3=216
D=6cm
So then the volume of the cylinder is,
V%5Bc%5D=pi%286%2F2%29%5E2%283%286%29%29
V%5Bc%5D=162pi
So then the empty space is,
V%5BES%5D=V%5Bc%5D-3B%5Bv%5D
V%5BES%5D=162pi-3%2836pi%29
V%5BES%5D=162pi-108pi
highlight%28V%5BES%5D=54pi%29