document.write( "Question 550972: Height of cone is 8cm and curved surface area is 188.4cm sq. Then find the volume of cone. \n" ); document.write( "
Algebra.Com's Answer #359477 by ankor@dixie-net.com(22740)\"\" \"About 
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Height of cone is 8cm and curved surface area is 188.4cm sq.
\n" ); document.write( "Then find the volume of cone.
\n" ); document.write( ":
\n" ); document.write( "The curved portion surface area of a cone: \"A+=+pi%2Ar%2Asqrt%28r%5E2%2Bh%5E2%29\"
\n" ); document.write( ":
\n" ); document.write( "Find r
\n" ); document.write( "\"pi%2Ar%2Asqrt%28r%5E2%2B8%5E2%29\" = 188.4
\n" ); document.write( "\"r%2Asqrt%28r%5E2%2B64%29\" = \"188.4%2Fpi\"
\n" ); document.write( "\"r%2Asqrt%28r%5E2%2B64%29\" = 59.9696
\n" ); document.write( "Square both sides
\n" ); document.write( "\"r%5E2%28r%5E2%2B64%29\" = 3596.35
\n" ); document.write( "\"r%5E4%2B64r%5E2+-+3596.35\" = 0
\n" ); document.write( "solve this with the quadratic formula
\n" ); document.write( "the positive solution
\n" ); document.write( "r^2 ~ 36, which is what we want to find the volume\r
\n" ); document.write( "\n" ); document.write( ":
\n" ); document.write( "Find the volume; \"V+=+1%2F3\"*\"pi%2Ar%5E2%2Ah\"
\n" ); document.write( "\"V+=+1%2F3\"*\"pi%2A36%2A8\"
\n" ); document.write( "V = 301.6 cu cm
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