document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196642>Question 196642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
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document.write( "I'm having a hard time figuring out the answer to this problem:<BR>\n" );
document.write( "Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. How high is the pile (to the nearest hundredth of a foot) when it contains 1030 ft^3 of grain? \r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147403 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=147403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Grain is falling from a chute onto the ground, forming a conical pile whose<BR>\n" );
document.write( " diameter is always three times its height. How high is the pile<BR>\n" );
document.write( " (to the nearest hundredth of a foot) when it contains 1030 ft^3 of grain?<BR>\n" );
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document.write( "The volume of a cone: V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"%281%2F3%29pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "diameter = 2r<BR>\n" );
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document.write( "It states,\"diameter is always three times its height\"; therefore<BR>\n" );
document.write( "2r = 3h<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >h<BR>\n" );
document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >h for r in the vol formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29pi%2A%28%283%2F2%29h%29%5E2%2Ah ALIGN=MIDDLE  ALT=\"%281%2F3%29pi%2A%28%283%2F2%29h%29%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1030<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29pi%2A%289%2F4%29h%5E2%2Ah ALIGN=MIDDLE  ALT=\"%281%2F3%29pi%2A%289%2F4%29h%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1030<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29pi%2A%289%2F4%29h%5E3 ALIGN=MIDDLE  ALT=\"%281%2F3%29pi%2A%289%2F4%29h%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1030<BR>\n" );
document.write( "cancel the 3 into the 9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%283%2F4%29h%5E3 ALIGN=MIDDLE  ALT=\"pi%2A%283%2F4%29h%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1030<BR>\n" );
document.write( "Multiply both sides by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A3%2Ah%5E3 ALIGN=MIDDLE  ALT=\"pi%2A3%2Ah%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4120<BR>\n" );
document.write( "divide both side by 3pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E3 ALIGN=MIDDLE  ALT=\"h%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4120%2F%283pi%29 ALIGN=MIDDLE  ALT=\"4120%2F%283pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E3 ALIGN=MIDDLE  ALT=\"h%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 437.145577<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=437.145577%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"437.145577%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; find the cube root of 437.145577<BR>\n" );
document.write( "h = 7.59 feet is the height<BR>\n" );
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document.write( "Check solution by finding the volume;<BR>\n" );
document.write( "find r <BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*7.59<BR>\n" );
document.write( "r = 11.38<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29pi%2A11.38%5E2%2A7.59 ALIGN=MIDDLE  ALT=\"%281%2F3%29pi%2A11.38%5E2%2A7.59\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 1029.33 ~ 1130<BR>\n" );
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