document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230606>Question 230606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170780 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=170780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?<BR>\n" );
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document.write( "Surface of the sphere = 4*pi*r^2 = 256pi<BR>\n" );
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document.write( "Surface of cylinder = 2pi*r*h + 2pi*r^2 = 256pi<BR>\n" );
document.write( "pi*r*h + pi*r^2 = 128pi<BR>\n" );
document.write( "pi*8*h + 64pi = 128pi<BR>\n" );
document.write( "8h = 64<BR>\n" );
document.write( "h = 8<BR>\n" );
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