document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050211>Question 1050211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quantity of steel rods are used to produce 10,000 pins.  Allow 1/16\" for waste in cutting each pin.\r<BR>\n" );
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document.write( "Description of pins:\r<BR>\n" );
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document.write( "1/2\" diameter.\r<BR>\n" );
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document.write( "2\" in length.\r<BR>\n" );
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document.write( "Description of rods:\r<BR>\n" );
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document.write( "1/2\" diameter.\r<BR>\n" );
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document.write( "12' in length.\r<BR>\n" );
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document.write( "Determine: Number and weight of rods.\r<BR>\n" );
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document.write( "Steel weighs .283 lbs./cu. ft.\r<BR>\n" );
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document.write( "My attempt:\r<BR>\n" );
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document.write( "The rods and pins are cylindrical.\r<BR>\n" );
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document.write( "3.1416 * .25 * .25 * 2.0625 = .404 cu. in. (volume of 1 pin).\r<BR>\n" );
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document.write( "3.1416 * .25 * .25 * 144 = 28.27 cu. in. (volume of 1 rod).\r<BR>\n" );
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document.write( "28.27 / .404 = 69.97 = 70 pins / rod.\r<BR>\n" );
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document.write( "10,000 / 70 = 142.85 = 143 rods.\r<BR>\n" );
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document.write( "28.27 * 143 = 4042.61 = 4043 cu. in. (total vol. of rods).\r<BR>\n" );
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document.write( "4043 * .283 = 1144.169 = 1144 lbs. (total wt. of rods).\r<BR>\n" );
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document.write( "Where am I correct?\r<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 #665839 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quantity of steel rods are used to produce 10,000 pins. Allow 1/16\" for waste in cutting each pin. <BR>\n" );
document.write( "Description of pins: <BR>\n" );
document.write( "1/2\" diameter. <BR>\n" );
document.write( "2\" in length. \r<BR>\n" );
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document.write( "Description of rods: <BR>\n" );
document.write( "1/2\" diameter. <BR>\n" );
document.write( "12' in length. \r<BR>\n" );
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document.write( "Determine: Number and weight of rods. <BR>\n" );
document.write( "Steel weighs .283 lbs./cu. ft. <BR>\n" );
document.write( "My attempt: <BR>\n" );
document.write( "The rods and pins are cylindrical. <BR>\n" );
document.write( "3.1416 * .25 * .25 * 2.0625 = .404 cu. in. (volume of 1 pin).<BR>\n" );
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document.write( "Don't include the volume of the waste in the volume of the pins.<BR>\n" );
document.write( "Vol = 3.1416 * .25 * .25 * 2 = 0.3927 cu. in. (volume of 1 pin).<BR>\n" );
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document.write( "3.1416 * .25 * .25 * 144 = 28.27 cu. in. (volume of 1 rod).\r<BR>\n" );
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document.write( "28.27 / .404 = 69.97 = 70 pins / rod. ****** The waste is included here.<BR>\n" );
document.write( "But, you have to round down.<BR>\n" );
document.write( "69 pins*0.404 = 27.876 cubic inches<BR>\n" );
document.write( "There's not enough left to make another pin.<BR>\n" );
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document.write( "10,000 / 70 = 142.85 = 143 rods. <BR>\n" );
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document.write( "10000/69 =~ 144.93 rods which mean 145 rods will be needed.\r<BR>\n" );
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document.write( "28.27 * 143 = 4042.61 = 4043 cu. in. (total vol. of rods). <BR>\n" );
document.write( "4043 * .283 = 1144.169 = 1144 lbs. (total wt. of rods). <BR>\n" );
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