document.write( "Question 1137073: Two cones are similar in shape. The ratio of the diameters of their bases is 2:7. The radius of the smaller cone is 4.5 inches. A) find the radius of the larger cone B) write the ratio of the height of the smaller cone to the height of the larger cone. \n" ); document.write( "
Algebra.Com's Answer #755172 by mananth(16946)\"\" \"About 
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wo cones are similar in shape.\r
\n" ); document.write( "\n" ); document.write( " The ratio of the diameters of their bases is 2:7.\r
\n" ); document.write( "\n" ); document.write( " The radius of the smaller cone is 4.5 inches. Diameter = 9 inches.\r
\n" ); document.write( "\n" ); document.write( "Let diameter of larger cone be x inches
\n" ); document.write( "2/7 = 9/x\r
\n" ); document.write( "\n" ); document.write( "diameter of larger cone x= 63/2 \r
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\n" ); document.write( "\n" ); document.write( "radius of larger cone = 63/4\r
\n" ); document.write( "\n" ); document.write( "let h1 be the height of smaller cone
\n" ); document.write( "h2 be the height of the larger cone\r
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\n" ); document.write( "\n" ); document.write( "\"h1%2Fh2+=+r1%5E2%2Fr2%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"+h1%2Fh2+=+%289%2F2%29%5E2+%2F%2863%2F4%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "simplify to get the ratio of 4/49\r
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\n" ); document.write( "\n" ); document.write( " ratio of the height of the smaller cone to the height of the larger cone=4/49
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