document.write( "Question 969942: Find the total surface area of a cone of base radius 8cm and vertical angle 60 \n" ); document.write( "
Algebra.Com's Answer #592866 by macston(5194)\"\" \"About 
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\n" ); document.write( "The vertical angle is 60 degrees so a 30-60-90 triangle is formed with the height as the shorter leg, the radius as the longer leg, and the slant height as the hypotenuse.
\n" ); document.write( "To find the surface area we need the slant height (hypotenuse)
\n" ); document.write( "For a 30-60-90 right triangle:(radius=longer leg,hypotenuse=slant height)
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\n" ); document.write( "\"Hypotenuse=%28%282%29%28longerleg%29%29%2Fsqrt%283%29\"
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\n" ); document.write( "\"Slantheight=%28%282%29%288cm%29%29%2Fsqrt%283%29\"
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\n" ); document.write( "\"Slantheight=%2816cm%29%2Fsqrt%283%29\"
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\n" ); document.write( "\"Slantheight=9.24cm\"
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\n" ); document.write( "The total surface area of a cone is area of base + lateral surface area:
\n" ); document.write( "A=surface area; r=radius=8cm; s=slant height=9.24cm
\n" ); document.write( ".
\n" ); document.write( "\"A=%28pi%29r%5E2%2B%28pi%29rs\"
\n" ); document.write( "\"A=%28pi%29%288cm%29%5E2%2B%28pi%29%288cm%29%289.24cm%29\"
\n" ); document.write( "\"A=pi%2864cm%5E2%29%2Bpi%2873.9cm%5E2%29\"
\n" ); document.write( "\"A=pi%2864cm%5E2%2B73.9cm%5E2%29\"
\n" ); document.write( "\"A=137.9%28pi%29cm%5E2\"\r
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