document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388010>Question 388010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same material, with radius 40 cm. Find the height of the pillar. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275185 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A solid cylindrical stone pillar has a top in the shape of a hemisphere. Given that the pillar is 40 cm in diameter and has the same mass as a solid stone sphere of the same material, with radius 40 cm. Find the height of the pillar.<BR>\n" );
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document.write( "The same material and the same weight --> same volume.<BR>\n" );
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document.write( "The volume of the sphere =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+4%2Api%2A40%5E3%2F3 ALIGN=MIDDLE  ALT=\"V+=+4%2Api%2A40%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 256000pi/3 cc<BR>\n" );
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document.write( "For the cylinder:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+pi%2Ar%5E2%2Ah+%2B+2%2Api%5Er%5E3%2F3 ALIGN=MIDDLE  ALT=\"V+=+pi%2Ar%5E2%2Ah+%2B+2%2Api%5Er%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+pi%2Ar%2A%28rh+%2B+2r%5E2%2F3%29+=+256000pi%2F3 ALIGN=MIDDLE  ALT=\"V+=+pi%2Ar%2A%28rh+%2B+2r%5E2%2F3%29+=+256000pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "pi*40*(40h + 2*1600/3) = 256000pi/3<BR>\n" );
document.write( "1600h + 12800/3 = 256000/3<BR>\n" );
document.write( "4800h = 12800 = 256000<BR>\n" );
document.write( "48h = 2432<BR>\n" );
document.write( "h = 50.333 cm for the cylindrical part<BR>\n" );
document.write( "height overall = 50.333 + r = 90.333 cm<BR>\n" );
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