document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445101>Question 445101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you find the volumes of cylinders, spheres, and cones? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306705 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The volume of a cylinder is the area of the circular base times the height:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_{cyl}\ =\ A_{base}\,\cdot\,h\ =\ \pi{r^2h}\">\r<BR>\n" );
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document.write( "The volume of a cone is one-third of the volume of a cylinder with the same height and base radius:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_{cone}\ =\ \frac{\pi{r^2h}}{3}\">\r<BR>\n" );
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document.write( "Don't believe it?  Try it.  Get your hands on one of those clear plastic cylinders that Geometry teachers use -- one with an open base on one end.  Also get a cone that is the same height and base radius.  Fill the inverted cone with sand (or sugar or whatever) exactly to the top, then pour it into the cylinder.  Repeat and repeat.  The cylinder will be exactly full with no sand left over.\r<BR>\n" );
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document.write( "The volume of a sphere is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{4\pi}{3}\"> times the volume of a cube with side measure equal to the sphere's radius.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_{sphere}\ =\ \frac{4\pi{r^3}}{3}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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