document.write( "Question 626129: Two spheres of the same density have a ratio of 4 to 9 in surface area. If the small sphere weighs 10 lb. what does the sphere weigh?\r
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Algebra.Com's Answer #394089 by ankor@dixie-net.com(22740)\"\" \"About 
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Two spheres of the same density have a ratio of 4 to 9 in surface area.
\n" ); document.write( " If the small sphere weighs 10 lb. what does the sphere weigh?
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\n" ); document.write( "Surface area of the two spheres;
\n" ); document.write( " r1= radius of the small sphere
\n" ); document.write( " r2= radius of the larger sphere
\n" ); document.write( "\"%284%2Api%2Ar1%5E2%29%2F%284%2Api%2Ar2%5E2%29\" = \"4%2F9\"
\n" ); document.write( "cancel 4*pi
\n" ); document.write( "\"%28r1%5E2%29%2F%28r2%5E2%29\" = \"4%2F9\"
\n" ); document.write( ":
\n" ); document.write( "\"%28r1%29%2F%28r2%29\" = \"sqrt%284%2F9%29\"
\n" ); document.write( "therefore
\n" ); document.write( "r1 = 2
\n" ); document.write( "r2 = 3
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\n" ); document.write( "Vol is equiv of weight here
\n" ); document.write( "let w = weight of the larger sphere
\n" ); document.write( "\"%28%284%2F3%29pi%2A2%5E3%29%2F%28%284%2F3%29pi%2A3%5E3%29\" = \"10%2Fw\"
\n" ); document.write( "Cancel \"%284%2F3%29pi\" and you have:
\n" ); document.write( "\"8%2F27\" = \"10%2Fw\"
\n" ); document.write( "cross multiply
\n" ); document.write( "8w = 27*10
\n" ); document.write( "w = \"270%2F8\"
\n" ); document.write( "w = 33.75, the weight of the larger sphere
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