document.write( "Question 1084028: The total surface area of a right circular cone is 484π square feet. If the slant height of the cone is three times the length of a radius of the base, find the length of a radius \n" ); document.write( "
Algebra.Com's Answer #698202 by ankor@dixie-net.com(22740)\"\" \"About 
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The total surface area of a right circular cone is 484π square feet.
\n" ); document.write( " If the slant height of the cone is three times the length of a radius of the base, find the length of a radius
\n" ); document.write( ":
\n" ); document.write( "Area of a cone: A = \"pi%2Ar%2As\", where
\n" ); document.write( "r = the radius
\n" ); document.write( "s = the slant height
\n" ); document.write( "\"the slant height of the cone is three times the length of a radius\": therefore:
\n" ); document.write( "3r = the slant height
\n" ); document.write( ":
\n" ); document.write( "\"pi%2Ar%2A3r\" = \"484%2Api\"
\n" ); document.write( "\"pi%2A3r%5E2\" = \"484%2Api\"
\n" ); document.write( "divide both sides
\n" ); document.write( "3r^2 = 484
\n" ); document.write( "r^2 = 484/3
\n" ); document.write( "r^2 = 161\"1%2F3\"
\n" ); document.write( "r = \"sqrt%28161.333%29\"
\n" ); document.write( "r = 12.7
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