document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33541>Question 33541</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201812606/algebrahomeworkh>Addison-Wesley Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> May you please help me with this question??:<BR>\n" );
document.write( "If the volume of a right cone is 72p(72 PI, can't put the sign on, srry), find the surface area if its height and radius are equal.\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20108 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=20108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's first find the radius of the right circular cone from the given information.<BR>\n" );
document.write( "The volume of a right circular cone is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281%2F3%29%28pi%29r%5E2h ALIGN=MIDDLE  ALT=\"V+=+%281%2F3%29%28pi%29r%5E2h\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%28pi%29 ALIGN=MIDDLE  ALT=\"72%28pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > but since r = h we can rewrite this and simplify it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%28pi%29r%5E3+=+72%28pi%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%28pi%29r%5E3+=+72%28pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and multiply both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3+=+216 ALIGN=MIDDLE  ALT=\"r%5E3+=+216\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube-root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+6 ALIGN=MIDDLE  ALT=\"r+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the radius, r = 6\r<BR>\n" );
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document.write( "The surface (lateral) area of a right circular cone is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28pi%29r%2Asqrt%28r%5E2%2Bh%5E2%29 ALIGN=MIDDLE  ALT=\"S+=+%28pi%29r%2Asqrt%28r%5E2%2Bh%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > but since r = h, we can rewrite this and simplify it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28pi%29r%2Asqrt%28r%5E2%2Br%5E2%29 ALIGN=MIDDLE  ALT=\"S+=+%28pi%29r%2Asqrt%28r%5E2%2Br%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28pi%29r%2Asqrt%282r%5E2%29 ALIGN=MIDDLE  ALT=\"S+=+%28pi%29r%2Asqrt%282r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28pi%29r%5E2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"S+=+%28pi%29r%5E2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute r = 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28pi%296%5E2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"S+=+%28pi%296%5E2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+36%28pi%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"S+=+36%28pi%29%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the surface area of the cone. </SPAN>\n" );
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