document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260623>Question 260623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right cylinder is formed from a rectangular sheet. Its volume is <BR>\n" );
document.write( "36/&#960; cubic units. What is the rectangular sheet’s area?\r<BR>\n" );
document.write( "\n" );
document.write( "The rectangle's length is 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191998 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=191998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A right cylinder is formed from a rectangular sheet. Its volume is <BR>\n" );
document.write( "36/&#960; cubic units. What is the rectangular sheet’s area? <BR>\n" );
document.write( "The rectangle's length is 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The volume of a right cylinder V = pi*r^2*h where r is the radius and  h height \r<BR>\n" );
document.write( "\n" );
document.write( "The length of the rectangle is given as 4.\r<BR>\n" );
document.write( "\n" );
document.write( "That means the width forms the cicumference of the cylinder when the sheet is rolled.<BR>\n" );
document.write( "Circumference = 2*pi*r\r<BR>\n" );
document.write( "\n" );
document.write( "2 * pi* r = 4<BR>\n" );
document.write( "r= 4/(2*pi)<BR>\n" );
document.write( "r= 2/pi\r<BR>\n" );
document.write( "\n" );
document.write( "V = pi*r^2*h \r<BR>\n" );
document.write( "\n" );
document.write( "insert the value of r in the above equation\r<BR>\n" );
document.write( "\n" );
document.write( "V= pi*(2/pi)*(2/pi)* h    \r<BR>\n" );
document.write( "\n" );
document.write( "36/pi = 4/(pi)^2  * h    Given that V= 36/pi\r<BR>\n" );
document.write( "\n" );
document.write( "36*(pi)^2 / 4pi=  h\r<BR>\n" );
document.write( "\n" );
document.write( "9pi = h          --h becomes the length of the sheet, L\r<BR>\n" );
document.write( "\n" );
document.write( "Area of sheet = L * W<BR>\n" );
document.write( "              = 9pi * 4<BR>\n" );
document.write( "              = 36pi square units\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "M Ananth------------ mananth@hotmail.com\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );