document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237540>Question 237540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a cyclider of radius r sits snugly inside a cube. Which of the following expressions represents the difference of their LATERAL AREAS?\r<BR>\n" );
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document.write( "a)2r^2 (8- pi)\r<BR>\n" );
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document.write( "b) 2r (pi - 2)\r<BR>\n" );
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document.write( "c) 2r (4- pi)\r<BR>\n" );
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document.write( "d) 4r^2 (4- pi)\r<BR>\n" );
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document.write( "^2 = squared </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174680 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=174680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If the cylinder with radius <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> fits snugly inside the cube, the cube must have an edge length equal to the diameter of the cylinder, or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2r\">.\r<BR>\n" );
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document.write( "The lateral surface area of a cube is the area of 4 of the sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ L.A._{cube}\ =\ 4e^2\">\r<BR>\n" );
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document.write( "So for this cube:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ L.A._{cube}\ =\ 4(2r)^2\ =\ 16r^2\">\r<BR>\n" );
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document.write( "The lateral surface area of a cylinder is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ L.A._{cyl}\ =\ 2\pi rh\">\r<BR>\n" );
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document.write( "But for this cylinder, the height is equal to the edge of the cube, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ L.A._{cyl}\ =\ 4\pi r^2\">\r<BR>\n" );
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document.write( "Compute the difference:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 16r^2\ -\ 4\pi r^2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 4r^2(4\ - \pi)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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