document.write( "Question 263618: The mass of a sphere is proportional to its radius cubed. If a sphere of diameter 2 cm has a mass of 9 grams, what diameter sphere has a mass of 4608 grams?\r
\n" ); document.write( "\n" ); document.write( "diameter= _____cm
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Algebra.Com's Answer #194265 by drk(1908)\"\" \"About 
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We have
\n" ); document.write( "\"m+=kr%5E3\"
\n" ); document.write( "diameter = 2, mass of 9
\n" ); document.write( "means
\n" ); document.write( "radius = 1 , mass = 9
\n" ); document.write( "step 1 - find k.
\n" ); document.write( "\"9+=k%281%29%5E3\"
\n" ); document.write( "so,
\n" ); document.write( "k = 9
\n" ); document.write( "step 2 - rewrite the equation with our new k to get
\n" ); document.write( " \"m+=+9r%5E3\"
\n" ); document.write( "step 3 - using m = 4608, find r and then d we get
\n" ); document.write( "\"4608+=+9r%5E3\"
\n" ); document.write( "dividing, we get
\n" ); document.write( "\"512+=+r%5E3\"
\n" ); document.write( "take a cub root to get
\n" ); document.write( "r = 8 and then d = 4
\n" ); document.write( "diameter = 4cm
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