document.write( "Question 551730:
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\n" ); document.write( "So i got a cylinder and in that cylinder there are 2 identical spheres they are touching themselves and the top and the bottom of the cylinder. The space that is left in the cylinder is 36pi. I need the r of the spheres
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Algebra.Com's Answer #359871 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here is a central cross-section.  Each green and red line segment has\r\n" );
document.write( "length r, the radius of each sphere and the cylinder:\r\n" );
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document.write( "The radius of each sphere and of the cylinder is r \r\n" );
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document.write( "The height of the cylinder is 4r\r\n" );
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document.write( "Volume of the cylinder = pr²h = p(r)²(4r) = 4pr³\r\n" );
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document.write( "Volume of each sphere = \"4%2F3\"pr³ \r\n" );
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document.write( "Volume of cylinder - 2·volume of sphere = 36p\r\n" );
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document.write( "4pr³ - 2·\"4%2F3\"pr³ = 36p\r\n" );
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document.write( "4pr³ - \"8%2F3\"pr³ = 36p\r\n" );
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document.write( "Multiply through by 3\r\n" );
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document.write( "12pr³ - 8pr³ = 108p\r\n" );
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document.write( "Divide through by p\r\n" );
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document.write( "12r³ - 8r³ = 108\r\n" );
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document.write( "       4r³ = 108\r\n" );
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document.write( "        r³ = 27\r\n" );
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document.write( "         r = 3\r\n" );
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document.write( "Edwin
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