document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=882692>Question 882692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How does the volume of a cone change when the radius is quadrupled and the height is reduced to 1/5 of its original size?\r<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 #533024 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V ALIGN=MIDDLE  ALT=\"V\"   DISABLED_style= \"max-width:90%; height:auto;\" > , of a cone with radius <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > and height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is calculated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29%28pi%2Ar%5E2%29%2Ah ALIGN=MIDDLE  ALT=\"V=%281%2F3%29%28pi%2Ar%5E2%29%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In that expression, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the area of the base of the cone.<BR>\n" );
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document.write( "If the radius is quadrupled, the new radius would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r ALIGN=MIDDLE  ALT=\"4r\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then, the area of the base would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%284r%5E2%29=pi%2A4%5E2%2Ar%5E3=pi%2A16%2Ar%5E2=16%2A%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"pi%2A%284r%5E2%29=pi%2A4%5E2%2Ar%5E3=pi%2A16%2Ar%5E2=16%2A%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and that would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > times more area for the base.<BR>\n" );
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document.write( "If the height is reduced to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the original height, the new height would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%2Ah ALIGN=MIDDLE  ALT=\"%281%2F5%29%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "If the radius is quadrupled, and the height is reduced to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the original height, the new cone volume will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2A%28pi%2A%284r%29%5E2%29%2A%28%281%2F5%29%2Ah%29=%281%2F3%29%2816%2A%28pi%2Ar%5E2%29%29%2A%28%281%2F5%29%2Ah%29=%281%2F3%29%2A16%2A%28pi%2Ar%5E2%29%2A%281%2F5%29%2Ah=%2816%2A%281%2F5%29%29%2A%281%2F3%29%28pi%2Ar%5E2%29%2Ah=%2816%2F5%29%2A%281%2F3%29%28pi%2Ar%5E2%29%2Ah=%2816%2F5%29%2AV ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F5 ALIGN=MIDDLE  ALT=\"16%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the original cone's volume. </SPAN>\n" );
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