document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085115>Question 1085115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brad has a cylindrical barrel with radius 10 inches and height 15 inches. He wants to fill it from a well, using a bucket in the shape of a hemisphere with a radius of 10 inches. How many trips must Brad make to the well in order to fill the barrel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699146 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Volume of barrel is pi*r^2*h=25*pi*15=375 pi in^3<BR>\n" );
document.write( "volume of hemisphere is (2/3)*pi*r^3=(250/3)*pi in^3<BR>\n" );
document.write( "divide the first by the second, and pi cancels<BR>\n" );
document.write( "375/(250/3)=375*3/250=1125/250<BR>\n" );
document.write( "needs five trips<BR>\n" );
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document.write( "Check using the fact that 1 1/2 spheres or 3 hemispheres will fit into the barrel physically.  That would be the minimum, but there is empty space, and that would require four full hemispheres and part of a fifth. </SPAN>\n" );
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