document.write( "Question 872734: 12 solid spheres of the same size are made by melting a solid metalic cylinder of base diameter 2 cm and height 16 cm the diameter of each sphere is ? \n" ); document.write( "

Algebra.Com's Answer #526372 by ben720(159) $\"\"$ $\"About$

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First, find the volume of the cylinder
\n" ); document.write( " $\"V=pi%2Ar%5E2%2Ah\"$
\n" ); document.write( " $\"V=pi%2A1%2A16\"$
\n" ); document.write( "{{V=16pi}}}
\n" ); document.write( "Divide by 12 to get each sphere
\n" ); document.write( " $\"v=4%2F3%2Api\"$
\n" ); document.write( "Use the sphere volume formula
\n" ); document.write( " $\"v=4%2F3%2Api%2A%28d%2F2%29%5E3\"$
\n" ); document.write( " $\"4%2F3%2Api=4%2F3%2Api%2A%28d%2F2%29%5E3\"$
\n" ); document.write( "Divide both sides by 4/3*pi
\n" ); document.write( " $\"1=%28d%2F2%29%5E3\"$
\n" ); document.write( "Find the cubic root of both sides.
\n" ); document.write( " $\"1=d%2F2\"$
\n" ); document.write( "Multiply both sides by 2
\n" ); document.write( " $\"2=d\"$
\n" ); document.write( "

2 CM

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