document.write( "Question 1044254: these two cylinders are similar.
\n" ); document.write( "the ratio of their volumes is 8:27.
\n" ); document.write( "the height of cylinder A is 12cm.
\n" ); document.write( "find the height of cylinder B.
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Algebra.Com's Answer #659583 by ikleyn(52800)\"\" \"About 
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\n" ); document.write( "these two cylinders are similar.
\n" ); document.write( "the ratio of their volumes is 8:27.
\n" ); document.write( "the height of cylinder A is 12cm.
\n" ); document.write( "find the height of cylinder B.
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\n" ); document.write( "\n" ); document.write( "The condition does't say whether A is the larger or the smaller cylinder.
\n" ); document.write( "I will assume that A is the smaller cylinder.\r
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document.write( "Since the cylinders are similar and since the ratio of their volumes is \"8%2F27\",\r\n" );
document.write( "the ratio of their linear dimensions/measures is \"root%283%2C+8%2F27%29\" = \"2%2F3\"  (similarity coefficient).\r\n" );
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document.write( "Next, since the height of the smaller cylinder is 12 cm, then the height of the larger cylinder is \"12%2A%283%2F2%29\" = 18 cm.\r\n" );
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