SOLUTION: A tennis ball can in the shape of a right circular cylinder holds three tennis balls snugly. If the radius of a tennis ball is 3.5 cm, what percentage of the tennis ball can is

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Question 336554: A tennis ball can in the shape of a right circular cylinder
holds three tennis balls snugly. If the radius of a tennis
ball is 3.5 cm, what percentage of the tennis ball can is
occupied by air?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The height of the can is equal to 6R.
The volume of the can is
Vc=pi%2AR%5E2%2AH=pi%2AR%5E2%286R%29=6%2Api%2AR%5E3
The volume of the three balls is,
Vb=3%2A%28%284%2Api%29%2F3%29R%5E3=4%2Api%2AR%5E3
The difference is then,
V=6%2Api%2AR%5E3-4%2Api%2AR%5E2
highlight%28V=2%2Api%2AR%5E3%29
V=2%2Api%2A%283.5%29%5E3
.
.
.
highlight_green%28V=269.4%29cc