document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180406>Question 1180406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Water is flowing through a pipe with radius 14 cm. The maximum depth of the water is<BR>\n" );
document.write( "9 cm. What is the width, PQ, of the surface of the water? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810068 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Water is flowing through a pipe with radius 14 cm.<BR>\n" );
document.write( " The maximum depth of the water is 9 cm. <BR>\n" );
document.write( " What is the width, PQ, of the surface of the water?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Draw this out, you will see that the chord PQ is: 14-9 = 5 cm from the center<BR>\n" );
document.write( "draw the radii to P & Q, and a line from the center to the middle of the chord.<BR>\n" );
document.write( "two right triangles are formed which we can use pythag to solve.<BR>\n" );
document.write( "Let a = half the length of the chord<BR>\n" );
document.write( "a^2 + 5^2 = 14^2<BR>\n" );
document.write( "a^2 + 25 = 196<BR>\n" );
document.write( "a^2 = 196 - 25<BR>\n" );
document.write( "a^2 = 171<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28171%29 ALIGN=MIDDLE  ALT=\"sqrt%28171%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 13.0767<BR>\n" );
document.write( "PQ = 2 * 13.0767<BR>\n" );
document.write( "PQ = 26.534 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );