document.write( "Question 180200This question is from textbook glencoe Geometry
\n" ); document.write( ": find the radius of a cone given the surface area and slant height. round to the nearest tenth T=359ft^2 , l=15 ft \n" ); document.write( "
Algebra.Com's Answer #135062 by ankor@dixie-net.com(22740)\"\" \"About 
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find the radius of a cone given the surface area and slant height. round to the nearest tenth T=359ft^2 , l=15 ft
\n" ); document.write( ":
\n" ); document.write( "the surface area formula: SA = \"pi%2Ar%2Asqrt%28r%5E2%2Bh%5E2%29\"
\n" ); document.write( "Where
\n" ); document.write( "r = radius
\n" ); document.write( "h = altitude
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\n" ); document.write( "However we are given the slant height (l):
\n" ); document.write( "l = \"sqrt%28r%5E2%2Bh%5E2%29\"
\n" ); document.write( "so we can just substitute l for that in the formula
\n" ); document.write( "SA = pi * r * l
\n" ); document.write( "so we have:
\n" ); document.write( "pi * r * 15 = 359
\n" ); document.write( "r = \"359%2F%2815%2Api%29\"
\n" ); document.write( "r = 7.618 ~ 7.6 ft
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