document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016906>Question 1016906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle with length and width equal to 6 cm and 4 cm respectively is revolved about its length.<BR>\n" );
document.write( "A. What is the volume of the right circular cylinder formed?<BR>\n" );
document.write( "B. Suppose the rectangle is revolved about its width instead, what is the volume of the cylinder formed?<BR>\n" );
document.write( "C. Compare the volumes of the two cylinders. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633255 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "A rectangle with length and width equal to 6 cm and 4 cm respectively is revolved about its length.<BR>\n" );
document.write( "A. What is the volume of the right circular cylinder formed?<BR>\n" );
document.write( "B. Suppose the rectangle is revolved about its width instead, what is the volume of the cylinder formed?<BR>\n" );
document.write( "C. Compare the volumes of the two cylinders.<BR>\n" );
document.write( "Answers:<BR>\n" );
document.write( "A) If the rectangle is revolved about its length<BR>\n" );
document.write( "then the width becomes the cylinder's radius.<BR>\n" );
document.write( "Therefore the cylinder has a radius of 4 cm and<BR>\n" );
document.write( "a height of 6 cm.<BR>\n" );
document.write( "Volume of a cylinder = Pi x r^2 x h  (r = radius, h = height)<BR>\n" );
document.write( "Volume = Pi x 4^2 x 6<BR>\n" );
document.write( "Volume = 301.6 cm^3 (1 decimal place)<BR>\n" );
document.write( "B) if the rectangle is rotated around its width<BR>\n" );
document.write( "then the length becomes the cylinder's radius.<BR>\n" );
document.write( "Therefore the cylinder has a radius of 6 cm and a height<BR>\n" );
document.write( "of 4 cm<BR>\n" );
document.write( "Volume of a cylinder = Pi x r^2 x h  (r = radius, h = height)<BR>\n" );
document.write( "Volume = Pi x 6^2 x 4<BR>\n" );
document.write( "Volume = 452.4 cm^3 (1 decimal place)<BR>\n" );
document.write( "C) Rotation round the length gives a cylinder<BR>\n" );
document.write( "of 301.6 cm^3<BR>\n" );
document.write( "Rotation round the width gives a cylinder of<BR>\n" );
document.write( "452.4 cm^3<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );