document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834353>Question 834353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right circular cone has a base radius of 2x-5 and a height of 3x. The cone has a volume of 125pi cubic units. Find the possible value(s) of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503028 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=503028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A right circular cone has a base radius of 2x-5 and a height of 3x.<BR>\n" );
document.write( " The cone has a volume of 125pi cubic units.<BR>\n" );
document.write( " Find the possible value(s) of x.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The Vol of cone: <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( "so we have<BR>\n" );
document.write( "<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%2A%282x-5%29%5E2%2A3x ALIGN=MIDDLE  ALT=\"pi%2A%282x-5%29%5E2%2A3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2Api ALIGN=MIDDLE  ALT=\"125%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get rid of the fraction multiply both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%282x-5%29%5E2%2A3x ALIGN=MIDDLE  ALT=\"pi%2A%282x-5%29%5E2%2A3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375%2Api ALIGN=MIDDLE  ALT=\"375%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-5%29%5E2%2A3x ALIGN=MIDDLE  ALT=\"%282x-5%29%5E2%2A3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375 ALIGN=MIDDLE  ALT=\"375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Foil<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2-20x%2B25%29%2A3x ALIGN=MIDDLE  ALT=\"%284x%5E2-20x%2B25%29%2A3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375 ALIGN=MIDDLE  ALT=\"375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E3-60x%5E2%2B75x+-+375+=+0 ALIGN=MIDDLE  ALT=\"12x%5E3-60x%5E2%2B75x+-+375+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Group factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2%28x-5%29+%2B+75%28x-5%29+=+0 ALIGN=MIDDLE  ALT=\"12x%5E2%28x-5%29+%2B+75%28x-5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor (x-5)<BR>\n" );
document.write( "(x-5)(12x^2+75) = 0<BR>\n" );
document.write( "one positive solution<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if this works out<BR>\n" );
document.write( "r = 2(5) - 5<BR>\n" );
document.write( "r = 5<BR>\n" );
document.write( "h = 3*5 = 15<BR>\n" );
document.write( "Use a calc<BR>\n" );
document.write( "<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%2A5%5E2%2A15 ALIGN=MIDDLE  ALT=\"pi%2A5%5E2%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2Api ALIGN=MIDDLE  ALT=\"125%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "392.7 = 392.7<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );