document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148488>Question 148488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diameter of the base of a cylinder measures 4, and the altitude measures 4. In cubic units what is the volume of the cylinder  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108814 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Volume of cylinder=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28r%5E2%29h ALIGN=MIDDLE  ALT=\"pi%28r%5E2%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This translates into the {area of the base} times the height.\r<BR>\n" );
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document.write( "Why? Well, think of a cylinder as a [stack of congruent circles].  The [amount of circles] is the height.  Take the area of one circle, and times it by the [amount of circles] or the height of the [stack of congruent circles].  That gives you the volume of the whole [stack of congruent circles].\r<BR>\n" );
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document.write( "Anyway, so take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28r%5E2%29h ALIGN=MIDDLE  ALT=\"pi%28r%5E2%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" > and plug in your values.  The diameter is 4, so r=2.  The altitude, or height, is 4.\r<BR>\n" );
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document.write( "Plug all that stuff in and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%282%5E2%294 ALIGN=MIDDLE  ALT=\"pi%282%5E2%294\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Simplify that and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%284%294 ALIGN=MIDDLE  ALT=\"pi%284%294\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Then multiply 4 by 4 and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2816%29 ALIGN=MIDDLE  ALT=\"pi%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Otherwise known as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16pi ALIGN=MIDDLE  ALT=\"16pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So your volume would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16pi ALIGN=MIDDLE  ALT=\"16pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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