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)![]() ![]() You can put this solution on YOUR website! 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( "--------------------- \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. \n" ); document.write( "-------------- \n" ); document.write( " \n" ); document.write( "for 144pi sq cm, r = 6 \n" ); document.write( "for 256pi sq cm, r = 8 \n" ); document.write( "---------------- \n" ); document.write( " \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 \n" ); document.write( "---------------- \n" ); document.write( "=~ 323.7pi sq cm, less the the sum of the 2 original areas \n" ); document.write( " \n" ); document.write( " |