SOLUTION: A cylinder is 12" high and has a diameter of 8". You fill the cylinder with marbles that have a 1" diameter. How much air would be in the cylinder once it is filled with marbles?

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Question 1079903: A cylinder is 12" high and has a diameter of 8". You fill the cylinder with marbles that have a 1" diameter. How much air would be in the cylinder once it is filled with marbles?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A cylinder is 12" high and has a diameter of 8".
You fill the cylinder with marbles that have a 1" diameter.
How much air would be in the cylinder once it is filled with marbles?
:
The radius of the cylinder = 4"
The radius of the marble = .5"
;
Find the volume of the cylinder
V+=+pi%2A4%5E2%2A12
V = 603.1858 cu/in
Assume that each 1" cube contains one marble ~ 603 marbles
Find the volume of each marble
v = %284%2F3%29%2Api%2A.5%5E3
v = .5236 cu/in
Find the total volume of 603 marbles
603 * .5236 = 315.73 cu/inches
Subtract this from the volume of the cylinder
603.1858 - 315.73 ~ 287 cu/in of air