document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307708>Question 307708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A water glass is shaped like a cylinder with height 6in. and diameter     2in. How many times as much water can a glass twice as tall and twice as wide hold?     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220096 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=220096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A water glass is shaped like a cylinder with height 6in. and diameter     2in. How many times as much water can a glass twice as tall and twice as wide hold? <BR>\n" );
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document.write( "The volume of a cylinder is a function of height, and of the radius squared.<BR>\n" );
document.write( "Doubling the height doubles the volume.<BR>\n" );
document.write( "2x the radius --> 4 times the volume.<BR>\n" );
document.write( "2x * 4x = 8 times the volume.<BR>\n" );
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document.write( "There's no need to calculate the volumes, since it's not asked for.<BR>\n" );
document.write( "The answer is 8x, 8 times the volume.<BR>\n" );
document.write( "NOT 8 times more, 8 times as much.<BR>\n" );
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