document.write( "Question 1106374: A cube of side 10cm is melted down and made into ten identical spheres . Calculate the surface area of one of the spheres
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #721381 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A cube of side 10cm is melted down and made into ten identical spheres . Calculate the surface area of one of the spheres
\n" ); document.write( ":
\n" ); document.write( "find the volume of the cube: 10^3 = 1000 cu/cm
\n" ); document.write( "Find the radius of the spheres using the volume formula
\n" ); document.write( "10*\"4%2F3\"\"pi%2Ar%5E3\" = 1000
\n" ); document.write( "divide both sides by 10
\n" ); document.write( "\"4%2F3\"\"pi%2Ar%5E3\" = 100
\n" ); document.write( "multiply both sides by 3
\n" ); document.write( "4*\"pi%2Ar%5E3\" = 300
\n" ); document.write( "divide both sides by 4
\n" ); document.write( "\"pi%2Ar%5E3\" = 75
\n" ); document.write( "\"r%5E3+=+75%2Fpi\"
\n" ); document.write( "\"r%5E3+=+23.873\"
\n" ); document.write( "find the cube root
\n" ); document.write( "r = 2.88 cm is the radius of the spheres
\n" ); document.write( ":
\n" ); document.write( "\"Calculate the surface area of the 10 spheres\"
\n" ); document.write( "S.A. = 10(4*pi*2.88^2)
\n" ); document.write( "S.A. = 1042.3 sq cm\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );