document.write( "Question 1035235: three spherical chocolate candies are tightly packed in a cylindrical tube. the radius of the tube is 3 cm. what volume of air surrounds the candies \n" ); document.write( "
Algebra.Com's Answer #649891 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Let us consider ONE ball packed in this way.\r\n" );
document.write( "\r\n" );
document.write( "The volume of the ball is \"%284%2F3%29%2Api%2Ar%5E3\".\r\n" );
document.write( "\r\n" );
document.write( "The volume of the cylinder (radius r and the height 2r) is \"pi%2Ar%5E2%2A2r\" = \"2pi%2Ar%5E3\".\r\n" );
document.write( "\r\n" );
document.write( "The difference is \"%282-4%2F3%29%2Api%2Ar%5E3\" = \"%282%2F3%29%2Api%2Ar%5E3\", i.e half of the volume of the sphere.\r\n" );
document.write( "\r\n" );
document.write( "So, the empty space has the volume half of that of the sphere.\r\n" );
document.write( "\r\n" );
document.write( "Taken three times (for three chocolate balls), the empty space has the volume \"2%2Api%2Ar%5E3\".\r\n" );
document.write( "

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