document.write( "Question 258341: A circular piece of paper has a 5 cm radius. It is cut once through to the center and curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area of the cone.\r
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Algebra.Com's Answer #190176 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the length of the side of this cone will be 5 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the length of the altitude of this cone will be 4 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this should form a 3/4/5 right triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this makes the radius of the base of the cone equal to 3 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "volume of the cone is equal to 1/3 * pi * r^2 * h.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this becomes 1/3 * pi * 9 * 4 = 1/3 * pi * 36 = 12 * pi cubic cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "surface area of the cone is equal to pi * r * (r + s).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this becomes pi * 3 * (3 + 5) = pi * 3 * 8 = 24 * pi square cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |