document.write( "Question 1129272: If the slant height of a cone is 4 times its radius, find the angle of the sector used to make the cone. \n" ); document.write( "

Algebra.Com's Answer #745837 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "From the condition, the slant height  R is 4 times the cone radius  r :\r\n" );
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document.write( "    R = 4r.              (1)\r\n" );
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document.write( "If  is the angle under the question, then the length of the arc of the sector is\r\n" );
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document.write( "    s =  = .    (2)\r\n" );
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document.write( "   \r\n" );
document.write( "At the same time, this length \"s\" is the circumference of the base of the cone:\r\n" );
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document.write( "    s = .           (3)\r\n" );
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document.write( "Equating (2) and (3), you get\r\n" );
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document.write( "     = .\r\n" );
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document.write( "Canceling \"r\" in both sides, you get\r\n" );
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document.write( "     =  = .       ANSWER\r\n" );
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document.write( "Answer.  The angle under the question is  .\r\n" );
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