document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171270>Question 1171270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the diagram, point N is on the inside of the cylinder, 10 cm from the bottom, and point M is on the outside of the cylinder, diametrically opposite Point N, 4 cm from the bottom. An ant walks from point M to point N, using the shortest possible route. The cylinder has height 12 cm and circumference 15 cm. When the ant got to the top of the cylinder, how many cm did it still have to walk? Ignore the thickness of the cylinder wall.<BR>\n" );
document.write( "A) 3<BR>\n" );
document.write( "B) 2<BR>\n" );
document.write( "C) 2.25<BR>\n" );
document.write( "D) 2.5<BR>\n" );
document.write( "E) 2.75\r<BR>\n" );
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document.write( "https://ibb.co/XxKwJzQ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796212 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "To get from point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M ALIGN=MIDDLE  ALT=\"M\"   DISABLED_style= \"max-width:90%; height:auto;\" > (on the outside of cylinder) to point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+ ALIGN=MIDDLE  ALT=\"N+\"   DISABLED_style= \"max-width:90%; height:auto;\" >(on the inside of cylinder), ant must go up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-4+=+8cm ALIGN=MIDDLE  ALT=\"12-4+=+8cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then it must go down<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12-10+=+2cm ALIGN=MIDDLE  ALT=\"+12-10+=+2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So the ant must move vertically <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B2+=+10cm+ ALIGN=MIDDLE  ALT=\"8%2B2+=+10cm+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and horizontally <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F2+=+7.5cm ALIGN=MIDDLE  ALT=\"15%2F2+=+7.5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = length of shortest path from point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+ ALIGN=MIDDLE  ALT=\"M+\"   DISABLED_style= \"max-width:90%; height:auto;\" >to point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%2810cm%29%5E2+%2B+%287.5cm%29%5E2+=+156.25cm%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+=+%2810cm%29%5E2+%2B+%287.5cm%29%5E2+=+156.25cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12.5cm ALIGN=MIDDLE  ALT=\"x+=+12.5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Once it reaches top, it has already travelled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%288%2B2%29+=+4%2F5 ALIGN=MIDDLE  ALT=\"8%2F%288%2B2%29+=+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of total distance.\r<BR>\n" );
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document.write( "So it has just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of distance left to get to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.5cm%2F5 ALIGN=MIDDLE  ALT=\"12.5cm%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5cm ALIGN=MIDDLE  ALT=\"2.5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "answer: D) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5 ALIGN=MIDDLE  ALT=\"2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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