document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=413047>Question 413047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a hole three feet in diameter and thirty feet deep, how many cubic yards of dirt will I pull out </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289982 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the hole is 3 feet in diameter and thirty feet deep.\r<BR>\n" );
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document.write( "that's a cylinder.\r<BR>\n" );
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document.write( "volume of a cylinder is pi * r^2 * h\r<BR>\n" );
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document.write( "radius is 1.5 feet (half of the diameter).\r<BR>\n" );
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document.write( "you can convert to yards first and then get the volume or you can get the volume and then convert to yards.\r<BR>\n" );
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document.write( "it's usually easier to convert first.\r<BR>\n" );
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document.write( "since there are 3 feet to a yard, the radius is .5 yards (1.5/3 = .5)\r<BR>\n" );
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document.write( "the height is 10 yards (30/3 = 10)\r<BR>\n" );
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document.write( "the volume if pi * r^2 * h = pi * .5^2 * 10 = pi * .25 * 10 = 2.5 * pi or roughly 7.853981634 cubic yards.\r<BR>\n" );
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document.write( "if you left it in feet and converted later, you would get the following:\r<BR>\n" );
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document.write( "volume is 1.5^2 * pi * 30 feet.\r<BR>\n" );
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document.write( "volume is equal to 67.5 * pi or roughly 212.0575041 cubic feet.\r<BR>\n" );
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document.write( "to convert to cubic yards, you would have to divide by 27 (3^3 = 27).\r<BR>\n" );
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document.write( "divide by 27 and you get volume of roughly 7.853981634 cubic yards.\r<BR>\n" );
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document.write( "the answer is the same regardless of whether you converted to yards first or to cubic yards later.\r<BR>\n" );
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