document.write( "Question 475958: a solid metal sphere 12 cm in diameter is melted and recast into smaller solid metal spheres 4 cm in diameter. How many of these smaller solid metal spheres will there be? \n" ); document.write( "
Algebra.Com's Answer #326398 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! a solid metal sphere 12 cm in diameter is melted and recast into smaller solid metal spheres 4 cm in diameter. How many of these smaller solid metal spheres will there be? \n" ); document.write( "** \n" ); document.write( "Volume of sphere=4/3πr^3 \n" ); document.write( "Larger sphere: \n" ); document.write( "r=12/2=6 \n" ); document.write( "volume=4/3π6^3=288π \n" ); document.write( ".. \n" ); document.write( "Smaller sphere \n" ); document.write( "r=4/2=2 \n" ); document.write( "volume=4/3π2^3=(32/3)π \n" ); document.write( ".. \n" ); document.write( "288π/(32/3)π=27 \n" ); document.write( "number of smaller spheres made from the larger sphere=27 \n" ); document.write( " |