document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101661>Question 1101661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the area of the region bounded by the graph of y=x^3, the line x=2 and the x-axis is revolved about the line x=-1 then find the volume of the solid revolution.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716442 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=716442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the area of the region bounded by the graph of y=x^3, the line x=2 and the x-axis is revolved about the line x=-1 then find the volume of the solid revolution. <BR>\n" );
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document.write( "The limits of x are 0 and 2.<BR>\n" );
document.write( "Use shells:<BR>\n" );
document.write( "Volume of a shell at x = dx*x^3*2pi*(x+1)<BR>\n" );
document.write( "dV = 2pi*(x^4 + x^3)dx<BR>\n" );
document.write( "Vol = 2pi*(x^5/5 + x^4/4)<BR>\n" );
document.write( "0 --> 0<BR>\n" );
document.write( "For x = 2:<BR>\n" );
document.write( "Vol = 2pi*(32/5 + 4)<BR>\n" );
document.write( "= 104pi/5 cubic units<BR>\n" );
document.write( "=~ 65.345 cubic units\r<BR>\n" );
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