document.write( "Question 388011: Two solid spheres have surface areas 144 pi sq.cm and 256 pi sq.cm, respectively. They are melted and recast to form a larger sphere. Find the surface area of this sphere in sq.cm. \n" ); document.write( "
Algebra.Com's Answer #274396 by Alan3354(69443)\"\" \"About 
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Two solid spheres have surface areas 144 pi sq.cm and 256 pi sq.cm, respectively. They are melted and recast to form a larger sphere. Find the surface area of this sphere in sq.cm.
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\n" ); document.write( "Find the radii, then the volumes.
\n" ); document.write( "Add the volumes, find the radius of the total.
\n" ); document.write( "Find the surface area of the total.
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\n" ); document.write( "\"Area+=+4%2Api%2Ar%5E2\"
\n" ); document.write( "for 144pi sq cm, r = 6
\n" ); document.write( "for 256pi sq cm, r = 8
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\n" ); document.write( "\"Vol+=+4%2Api%2Ar%5E3%2F3\"
\n" ); document.write( "for r = 6, V = 288pi cc
\n" ); document.write( "for r = 8, V = 2048pi/3 cc
\n" ); document.write( "Total volume = 2912pi/3 cc
\n" ); document.write( "r =~ 8.996 cm
\n" ); document.write( "SA total =~ 1016.945 sq cm
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\n" ); document.write( "=~ 323.7pi sq cm, less the the sum of the 2 original areas
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