document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043633>Question 1043633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylinder was altered by increasing the radius its circle base by 10 percent and decreasing its height by k percent.  If the volume of the resulting cylinder is 8.9%  greater than the volume of the original cylinder.  what is the value of k?<BR>\n" );
document.write( "A)  8.9 <BR>\n" );
document.write( "B)  10 <BR>\n" );
document.write( "C)  12 <BR>\n" );
document.write( "D)  15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658779 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Volume of original=pi*r^2h<BR>\n" );
document.write( "Volume of new=pi*(1.1r)^2*(h-kh)<BR>\n" );
document.write( "pi*1.21r^2*(h-kh)=1.089*pi^r^2*h<BR>\n" );
document.write( "The pi cancels, the r^2 cancel<BR>\n" );
document.write( "1.21(h-kh)=1.089h<BR>\n" );
document.write( "1.21h-1.21kh=1.089h<BR>\n" );
document.write( "0.121h=1.21kh<BR>\n" );
document.write( "the h cancel<BR>\n" );
document.write( "0.121=1.21k<BR>\n" );
document.write( "k=0.121/1.21=0.10 or 10% <BR>\n" );
document.write( "B<BR>\n" );
document.write( "Let r=10 and h=20<BR>\n" );
document.write( "volume of original is pi*100*20=2000pi<BR>\n" );
document.write( "volume of new is pi*121*18=2178pi, which is 0.089 or 8.9% larger </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );