document.write( "Question 667722: The weight of a sphere is proportional to its radius cubed. If a sphere of diameter 1 cm has a mass of 4 grams, what diameter sphere has a mass of 108 grams? \n" ); document.write( "
Algebra.Com's Answer #415135 by mananth(16946)\"\" \"About 
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\"w+%28alpha%29+r%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"w=kr%5E3\" where k is the constant of proportionality\r
\n" ); document.write( "\n" ); document.write( "mass 4 gm radius = 1/2cm\r
\n" ); document.write( "\n" ); document.write( "\"4=+k%2A%281%2F2%29%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"4=+k%2F8\"\r
\n" ); document.write( "\n" ); document.write( "k=32\r
\n" ); document.write( "\n" ); document.write( "mass = 108\r
\n" ); document.write( "\n" ); document.write( "k= 32\r
\n" ); document.write( "\n" ); document.write( "r=?\r
\n" ); document.write( "\n" ); document.write( "\"w=kr%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"108=32%2Ar%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"108%2F32+=r%5E3\"\r
\n" ); document.write( "\n" ); document.write( "\"27%2F8=r%5E3\"\r
\n" ); document.write( "\n" ); document.write( "take the cube root\r
\n" ); document.write( "\n" ); document.write( "3/2 = r\r
\n" ); document.write( "\n" ); document.write( "r= 1.5 cm
\n" ); document.write( "diameter is twice the radius.
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