document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080011>Question 1080011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are an engineer for McDonalds and it is your job to develop a new small coffee cup.  The average diameter of a car cup holder is between 10.10 cm and 12 cm.  A small cup must hold 225 cm^3 of coffee.  What is the height of your cup design?\r<BR>\n" );
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document.write( "&#960;r^2h=225 cm^3\r<BR>\n" );
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document.write( "h=v/&#960;5.5^2<BR>\n" );
document.write( "h=225/&#960;5.5^2<BR>\n" );
document.write( "225/95.03 = 2.37 doesn't make sense<BR>\n" );
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document.write( "I also tried converting the cm^3 first and came up with 6.0822.  I thought I had it correct with dividing 95.03nby 6.0822 to end up with 15.64 cm since that would give me a cup that is 6.2 inches tall, but then I realized I did it backwards... PLEASE help!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694239 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=694239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "average diameter of a car cup holder is between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.10cm ALIGN=MIDDLE  ALT=\"10.10cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12cm ALIGN=MIDDLE  ALT=\"12cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, average <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=radius ALIGN=MIDDLE  ALT=\"radius\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a car cup holder is between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.5cm ALIGN=MIDDLE  ALT=\"5.5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16cm ALIGN=MIDDLE  ALT=\"16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if given volume must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225cm%5E3 ALIGN=MIDDLE  ALT=\"225cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, than we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah=225+cm%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah=225+cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........if  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5.5cm ALIGN=MIDDLE  ALT=\"r=5.5cm\"   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=3.14%2A%285.5cm%29%5E2%2Ah=225cm%5E3+ ALIGN=MIDDLE  ALT=\"3.14%2A%285.5cm%29%5E2%2Ah=225cm%5E3+\"   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=3.14%2A30.25cm%5E2%2Ah=225cm%5E3+ ALIGN=MIDDLE  ALT=\"3.14%2A30.25cm%5E2%2Ah=225cm%5E3+\"   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=94.985cm%5E2%2Ah=225cm%5E3+ ALIGN=MIDDLE  ALT=\"94.985cm%5E2%2Ah=225cm%5E3+\"   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=h=225cm%5E3+%2F94.985cm%5E2 ALIGN=MIDDLE  ALT=\"h=225cm%5E3+%2F94.985cm%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=h=2.37cm ALIGN=MIDDLE  ALT=\"h=2.37cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah=225cm%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah=225cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........if  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=6cm ALIGN=MIDDLE  ALT=\"r=6cm\"   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=3.14%2A%286cm%29%5E2%2Ah=225cm%5E3 ALIGN=MIDDLE  ALT=\"3.14%2A%286cm%29%5E2%2Ah=225cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.14%2A36cm%5E2%2Ah=225cm%5E3+ ALIGN=MIDDLE  ALT=\"3.14%2A36cm%5E2%2Ah=225cm%5E3+\"   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=113.04cm%5E2%2Ah=225cm%5E3+ ALIGN=MIDDLE  ALT=\"113.04cm%5E2%2Ah=225cm%5E3+\"   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=h=225cm%5E3+%2F113.04cm%5E2 ALIGN=MIDDLE  ALT=\"h=225cm%5E3+%2F113.04cm%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=h=1.99cm ALIGN=MIDDLE  ALT=\"h=1.99cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=height ALIGN=MIDDLE  ALT=\"height\"   DISABLED_style= \"max-width:90%; height:auto;\" > of your small cup design is between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.99cm ALIGN=MIDDLE  ALT=\"1.99cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.37cm ALIGN=MIDDLE  ALT=\"2.37cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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