document.write( "Question 385852: How many spheres of radius 1cm can you place inside a equilateral triangular pyramid of side 10cm \n" ); document.write( "
Algebra.Com's Answer #272890 by richard1234(7193)\"\" \"About 
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I'll assume that the spheres must take their own shape, without being altered.\r
\n" ); document.write( "\n" ); document.write( "I would imagine the answer being (4+3+2+1) + (3+2+1) + (2+1) + 1 = 20, obtained by starting with a triangle of spheres with 4 spheres to a side, and letting the side length go to 3, 2, 1. I'm not quite sure how to prove this...it'll definitely require much higher level mathematics.
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