document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459588>Question 459588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial that represents the total surface area of the right circular cylinder with a radius of 4. \r<BR>\n" );
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document.write( "Now use that polynomial to determine the total surface area of each of the following right circular cylinders that have a base with a radius of 4. Use 3.14 for &#960;, and express the answers to the nearest tenth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315144 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=315144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A  right  circular  cylinder  is  a  cylinder  whose  base  is perpendicular  to  its  sides (like a soup can.) The expression for the surface area has two parts:<BR>\n" );
document.write( "There is the rectangular-shaped side that wraps around the cylinder, and the circular base and top of the cylinder. <BR>\n" );
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document.write( "The surface area of the side is the height of the cylinder times the circumference of the base. In algebra, this translates to<BR>\n" );
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document.write( "(h)(2[pi]r) <BR>\n" );
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document.write( "where h is the height of the cylinder and r is the radius of its circular base. We know that the radius is 4 and we approximate [pi] as 3.14. This gives us<BR>\n" );
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document.write( "h(2)(3.14)(4) = (25.12)h\r<BR>\n" );
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document.write( "The surface area of the base and top of the cylinder is the area of the circle. There are two circles so we multiply by 2.<BR>\n" );
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document.write( "(2)([pi])r^2 = (2)(3.14)(4^2) = 100.48<BR>\n" );
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document.write( "We combine these expressions to create a polynomial for the surface area S in terms of the height of the cylinder.<BR>\n" );
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document.write( "S = (25.12)h + 100.48<BR>\n" );
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document.write( "Your question does not include information about the other cylinders, but you can substitute their heights for h in the polynomial and get the surface area.<BR>\n" );
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document.write( "Good luck!\r<BR>\n" );
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