document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284724>Question 284724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The radius of a cylinder is increased by 40%, but the height is cut in half.<BR>\n" );
document.write( "What is the resulting change in volume?\r<BR>\n" );
document.write( "\n" );
document.write( "A.2% decrease B. 30% decrease C. 30% increase D. 2% increase<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206552 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=206552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let r be the radius \r<BR>\n" );
document.write( "\n" );
document.write( "h the height\r<BR>\n" );
document.write( "\n" );
document.write( "volume of cylinder = pi*r^2*h\r<BR>\n" );
document.write( "\n" );
document.write( "r is increased by 40 %\r<BR>\n" );
document.write( "\n" );
document.write( "new radius = 1.4\r<BR>\n" );
document.write( "\n" );
document.write( "new height = 0.5h\r<BR>\n" );
document.write( "\n" );
document.write( "new volume = pi*(1.4r)^2 * 0.5h\r<BR>\n" );
document.write( "\n" );
document.write( "original volume / new volume =  pi*r^2*h  / pi* (1.4r)^2*0.5h\r<BR>\n" );
document.write( "\n" );
document.write( "= 1/(1.4)^2*0.5)<BR>\n" );
document.write( "=1.02\r<BR>\n" );
document.write( "\n" );
document.write( "meaning 2 % increase\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );