document.write( "Question 421907: A cylinder has a volume of 75,400 cubic feet. What is the radius of the cylinder if the height of the cylinder is 3 times longer than the radius? \n" ); document.write( "
Algebra.Com's Answer #294623 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A cylinder has a volume of 75,400 cubic feet.
\n" ); document.write( " What is the radius of the cylinder if the height of the cylinder is 3 times longer than the radius?
\n" ); document.write( ":
\n" ); document.write( "Vol of cylinder: \"V+=+pi%2Ar%5E2%2Ah\"
\n" ); document.write( ":
\n" ); document.write( "Let x = the radius (r)
\n" ); document.write( "then
\n" ); document.write( "3x = the height (h)
\n" ); document.write( ":
\n" ); document.write( "\"pi%2Ax%5E2%2A3x\" = 75400
\n" ); document.write( "\"pi%2A3x%5E3\" = 75400
\n" ); document.write( "Divide both sides by 3pi, results
\n" ); document.write( "x^3 = \"75400%2F%283%2Api%29\"
\n" ); document.write( "x^3 = 8000.2
\n" ); document.write( "x = \"3sqrt%288000.2%29\"
\n" ); document.write( "x = 20.0 ft is the radius
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution on calc: enter: \"pi%2A20%5E2%2A60\" results: 75398.2237 ~ 75400
\n" ); document.write( "
\n" );