document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037490>Question 1037490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Karl has finished harvesting his barley and stored it short-term in a conical pile in his yard.  Karl’s auger is 41 ft long and the pile has a diameter of 75 ft. \r<BR>\n" );
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document.write( "a. Find the height of Karl’s pile using the Pythagorean Theorem.  Round to one decimal place.  <BR>\n" );
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document.write( "   < > <BR>\n" );
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document.write( "  b. Find the volume of barley in Karl’s pile to the nearest cubic foot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652132 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=652132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Karl has finished harvesting his barley and stored it short-term in a conical pile in his yard. <BR>\n" );
document.write( "Karl’s auger is 41 ft long and the pile has a diameter of 75 ft.<BR>\n" );
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document.write( "a. Find the height of Karl’s pile using the Pythagorean Theorem.<BR>\n" );
document.write( " Round to one decimal place.<BR>\n" );
document.write( "A right triangle formed by the height, the radius (37.5) and the 41' augar is the hypotenuse<BR>\n" );
document.write( "h^2 + 37.5^2 = 41^2<BR>\n" );
document.write( "h^2 = 1681 - 1496.25<BR>\n" );
document.write( "h^2 = 275.75<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28275.75%29 ALIGN=MIDDLE  ALT=\"sqrt%28275.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 16.6 ft is the height<BR>\n" );
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document.write( "b. Find the volume of barley in Karl’s pile to the nearest cubic foot.<BR>\n" );
document.write( "the Volume of a cone: V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A37.5%5E2%2A16.6 ALIGN=MIDDLE  ALT=\"pi%2A37.5%5E2%2A16.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 24,456 cu/ft  </SPAN>\n" );
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