document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #694269 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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

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