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

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Question 173465: A tennis ball can in the shape of a cylinder holds three tennis balls snugly. If the radius of a tennis ball is 3.5cm, what percentage of the tennis ball can is occupied by air?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
V=%28pi%29r%5E2h volume of a cylinder
:
V=4%2F3%28pi%29r%5E3 volume of a sphere
:
let V(C) be the volme of the tennis can and V(S) be the volume of a tennis ball
:
height of sphere is 3(7)=21....diameter of each ball is 7cm
:
V%28C%29=%28pi%29%283.5%29%5E2%2821%29---->v%28C%29=%28pi%29%2812.25%29%2821%29
:
V%28C%29=%28pi%29257.25cu cm
:
V%28S%29=%284%2F3%29%28pi%29%283.5%29%5E3---->V%28S%29=%284%2F3%29%28pi%2942.875
:
V%28S%29=57.6%28pi%29
:
we must multiply the V(S) by 3 since there are 3 balls
:
57.6%28pi%29%283%29=172.8%28pi%29
The volume of the air will be V(C)-3V(S)
:
Volume of air257.25%28pi%29-172.8%28pi%29=highlight%2884.45%29%28pi%29cu centimeters