document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193435>Question 1193435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How far from the top must you cut a conical tent in order to cut the cloth in half? </SPAN>\n" );
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document.write( "The amount of cloth required is proportional to the surface area of the tent.<br><BR>\n" );
document.write( "Assuming the cut is made so that the smaller tent is similar to the original tent, the ratio of surface areas is the square of the ratio of the heights.<br><BR>\n" );
document.write( "So, given that the ratio of the surface areas is 1/2; the ratio of heights needs to be the square root of 1/2:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.707 to 3 decimal places<br><BR>\n" );
document.write( "ANSWER: To cut the amount of cloth in half, if the height of the tent is h, then the cut must be made 0.707h from the top of the tent.<br><BR>\n" );
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