document.write( "Question 1054046: 'ET Pizza' produces two pizzas that are similar in shape. The smaller pizza is 20 cm in diameter and costs $10. The larger pizza is 30 cm in diameter. What is a fair cost for the larger pizza?\r
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document.write( "Thanks in advance. \n" );
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Algebra.Com's Answer #669251 by Theo(13342)![]() ![]() You can put this solution on YOUR website! radius is equal to 1/2 * diameter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "radius of the smaller pie is 10 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "radius of the larger pie is 15 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area of the smaller pizza is equal to pi * r^2 which is equal to pi * 10^2 = 100 * pi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area of the larger pizza is equal to pi * r^2 which is equal to pi * 15^2 = 225 * pi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ratio of the larger area to the smaller are is (225 * pi) / (100 * pi) which is equal to 2.25.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.25 * 10 = 22.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that appears to be a fair price for the large pie since it consumes about 2.25 times the ingredients as in the smaller pie.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |