document.write( "Question 1198591: The total surface area of a right circular cone is one and one-half times the lateral area. The radius of the base is equal to _______inches if the slant height is 6 inches. \n" ); document.write( "
Algebra.Com's Answer #832207 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
Total surface area of a cone =\"+pi%2Ar%2A%28r%2Bsqrt%28r%5E2%2Bh%5E2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Lateral surface area of a cone = \"+pi%2Ar%2Asqrt%28r%5E2%2Bh%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "The total surface area of a right circular cone is \"one\" and \"one-half\" times the lateral area.
\n" ); document.write( "\"one\" and \"one-half\"=>\"3%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " .........simplify\r
\n" ); document.write( "\n" ); document.write( "\"r%2A+sqrt%28h%5E2+%2B+r%5E2%29+=+2+r%5E2\".......if \"+h=6\"\r
\n" ); document.write( "\n" ); document.write( "\"r+%2Asqrt%2836+%2B+r%5E2%29+=+2r%5E2\"...........simplify\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%2836+%2B+r%5E2%29+=+2r\"........square both sides\r
\n" ); document.write( "\n" ); document.write( "\"36+%2B+r%5E2+=+4r%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"36+=+4r%5E2-r%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"3r%5E2+=36\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2+=12\"\r
\n" ); document.write( "\n" ); document.write( "\"r=sqrt%2812%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r\"\"3.464\" inches\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );