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? 
:
The radius of the cylinder = 4"
The radius of the marble = .5"
;
Find the volume of the cylinder
{{{V = pi*4^2*12}}} 
V = 603.1858 cu/in
Assume that each 1" cube contains one marble ~ 603 marbles
Find the volume of each marble 
v = {{{(4/3)*pi*.5^3}}}
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