document.write( "Question 1117077: The surface area, S, of a cone of radius r and h can be found using the formula S=πr√r^2+h^2. What is the height of this cone? \r
\n" ); document.write( "\n" ); document.write( "S= 225 cm^2
\n" ); document.write( "r= 5 cm
\n" ); document.write( "

Algebra.Com's Answer #732046 by ankor@dixie-net.com(22740)\"\" \"About 
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The surface area, S, of a cone of radius r and h can be found using the formula
\n" ); document.write( " \"S+=+pi%2Arsqrt%28r%5E2%2Bh%5E2%29\"
\n" ); document.write( " What is the height of this cone?
\n" ); document.write( "S= 225 cm^2
\n" ); document.write( "r= 5 cm
\n" ); document.write( ":
\n" ); document.write( "\"pi%2A5sqrt%285%5E2%2Bh%5E2%29=225\"
\n" ); document.write( "divide both sides by 5
\n" ); document.write( "\"pi%2Asqrt%2825%2Bh%5E2%29+=+45\"
\n" ); document.write( "divide both sides by pi
\n" ); document.write( "\"sqrt%2825%2Bh%5E2%29+=+45%2Fpi\"
\n" ); document.write( "square both sides
\n" ); document.write( "\"25+%2B+h%5E2+=+%2845%2Fpi%29%5E2\"
\n" ); document.write( "\"25+%2B+h%5E2+=+205.175%7D%7D%0D%0A%7B%7B%7Bh%5E2+=+205.175+-+25\"
\n" ); document.write( "\"h%5E2+=+180.175\"
\n" ); document.write( "h = \"sqrt%28180.175%29\"
\n" ); document.write( "h = 13.43 cm
\n" ); document.write( "
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