document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281580>Question 281580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a cone and a pyramid have equal volumes and equal heights each side of the square measures 8 meters what is the radius of the base of the cone?<BR>\n" );
document.write( "leave answer in terms of pi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204558 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathematicians><B>Mathematicians(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathematicians><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=Mathematicians><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to answer this question, you need to know the formula for volume of a cone and pyramid.\r<BR>\n" );
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document.write( "Volume for Cone	= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%2A+pi+%2A+r%5E2+%2A+h ALIGN=MIDDLE  ALT=\"1%2F3+%2A+pi+%2A+r%5E2+%2A+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > where r is radius and h is height<BR>\n" );
document.write( "Volume for Pyramid = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%2A+s%5E2+%2A+h ALIGN=MIDDLE  ALT=\"1%2F3+%2A+s%5E2+%2A+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > where h is height and s is side\r<BR>\n" );
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document.write( "We know that the volumes are equal so we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%2A+pi+%2A+r%5E2+%2A+h+=+1%2F3+%2A+s%5E2+%2A+h ALIGN=MIDDLE  ALT=\"1%2F3+%2A+pi+%2A+r%5E2+%2A+h+=+1%2F3+%2A+s%5E2+%2A+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplying 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi+%2A+r%5E2+%2A+h+=+s%5E2+%2A+h ALIGN=MIDDLE  ALT=\"+pi+%2A+r%5E2+%2A+h+=+s%5E2+%2A+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > since  h is the same, we can cancel them out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi+%2A+r%5E2+=+s%5E2 ALIGN=MIDDLE  ALT=\"+pi+%2A+r%5E2+=+s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > We are given that side is 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi+%2A+r%5E2+=+64 ALIGN=MIDDLE  ALT=\"+pi+%2A+r%5E2+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" > some algebra<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+=+64%2Fpi+ ALIGN=MIDDLE  ALT=\"+r%5E2+=+64%2Fpi+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+8%2F%28pi%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"+r+=+8%2F%28pi%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > you would also have a negative answer, however since we are dealing with distance, we only consider the positive answer.\r<BR>\n" );
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document.write( "I hope this helps,<BR>\n" );
document.write( "Bran ;)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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