document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037870>Question 1037870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chris bought a new grain bin that is a cylinder base with a cone top.  The bin has a diameter of 19 ft.  The height of the cylinder is 15 ft and the height of the cone is 6 ft.  Currently, the oats that Chris wants to put into the bin is in a cone-shaped pile on the ground.  The pile has a diameter of 40 ft and a height of 10.5 ft. <BR>\n" );
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document.write( "a.Find the volume of oats Chris has in the pile to the nearest cubic foot. \r<BR>\n" );
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document.write( "b. Convert the volume of the oats in cubic feet to bush and now find the capacity of the grain bin to the nearest cubic foot.<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 #652604 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=652604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for the volume of a cylinder is pi * r^2 * h.<BR>\n" );
document.write( "the formula for the volume of a cone is 1/3 * pi * r^2 * h.<BR>\n" );
document.write( "r is the radius.<BR>\n" );
document.write( "h is the height.\r<BR>\n" );
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document.write( "the length of the radius is 1/2 the length of the diameter.<BR>\n" );
document.write( "this means the radius of the cylindrical bin is 9.5 feet.<BR>\n" );
document.write( "this means the radius of the pile of oats is 20 feet.\r<BR>\n" );
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document.write( "the pile of oats on the ground is 40 feet in diameter and 10.5 feet high.<BR>\n" );
document.write( "r = 20 feet<BR>\n" );
document.write( "h = 10.5 feet<BR>\n" );
document.write( "the volume of the oats is equal to 1/3 * pi * r^2 * h which is equal to 1/3 * pi * 20^2 * 10.5 which is equal to 1044 * pi cubic feet.\r<BR>\n" );
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document.write( "the volume of the pile of oats is 1044 * pi cubic feet.\r<BR>\n" );
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document.write( "the bin has a cylindrical part and a cone part.\r<BR>\n" );
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document.write( "the dimensions of the cone part are:<BR>\n" );
document.write( "r = 9.5 feet<BR>\n" );
document.write( "h = 6 feet<BR>\n" );
document.write( "the volume of the cone part is equal to 1/3 * pi * r^2 * h which is equal to 1/3 * pi * 9.5^2 * 6 which is equal to 180.5 cubic feet.\r<BR>\n" );
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document.write( "the dimensions of the cylinder part are:<BR>\n" );
document.write( "r = 9.5 feet<BR>\n" );
document.write( "h = 15 feet<BR>\n" );
document.write( "the volume of the cylindrical part is equal to pi * r^2 * h which is equal to pi * 9.5^2 * 15 which is equal to 1353.75 cubic feet.\r<BR>\n" );
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document.write( "the total capacity of the cylindrical tank with the cone top is equal to 1353.75 + 180.5 which is equal to 1534.25 cubic feet.\r<BR>\n" );
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document.write( "your solutions appear to be:\r<BR>\n" );
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document.write( "the volume of the oats is equal to 1044 cubic feet.<BR>\n" );
document.write( "the capacity of the tank is equal to 1353.75 cubic feet.\r<BR>\n" );
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