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 #832208 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "The total surface area of a right circular cone is one and one-half times the lateral area.
\n" ); document.write( "The radius of the base is equal to _______inches if the slant height is 6 inches.
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\n" ); document.write( "\n" ); document.write( " The solution by @MathLover1 is totally wrong,\r
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document.write( "The problem says that \"The total surface area of a right circular cone \r\n" );
document.write( "is one and one-half times the lateral area.\"\r\n" );
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document.write( "It means that the base area of the cone is half of its lateral area.\r\n" );
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document.write( "The base area of the cone is  ,  where \"r\" is the radius of the cone.\r\n" );
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document.write( "The lateral area of a cone is  ,  where L is the slant height.\r\n" );
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document.write( "Hence, for our problem we have this equation \r\n" );
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document.write( "     = .\r\n" );
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document.write( "Divide both sides by    to get\r\n" );
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document.write( "    r = 3.\r\n" );
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document.write( "ANSWER.  The radius of the base of this cone is 3 inches.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (correctly and in a right way).\r
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