document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180607>Question 1180607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cylinders are partially filled with water, each to a<BR>\n" );
document.write( "depth of24feet. The smaller cylinder has a radius of<BR>\n" );
document.write( "3feet and the larger has a radius Of 4feet. Water is<BR>\n" );
document.write( "emptied from the larger cylinder into the smaller<BR>\n" );
document.write( "cylinder until each holds an equal volume of water.<BR>\n" );
document.write( "What is the difference between the depths Of the<BR>\n" );
document.write( "two cylinders in feet and inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810331 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cylinders are partially filled with water, each to a<BR>\n" );
document.write( "depth of24feet. The smaller cylinder has a radius of<BR>\n" );
document.write( "3feet and the larger has a radius Of 4feet. Water is<BR>\n" );
document.write( "emptied from the larger cylinder into the smaller<BR>\n" );
document.write( "cylinder until each holds an equal volume of water.<BR>\n" );
document.write( "What is the difference between the depths Of the<BR>\n" );
document.write( "two cylinders in feet and inches?\r<BR>\n" );
document.write( "\n" );
document.write( "Volume of water in bigger cylinder = pi * r^2 *h = pi*16*24 = 384ft^3<BR>\n" );
document.write( "smaller cylinder pi*3^2*24=216 pi\r<BR>\n" );
document.write( "\n" );
document.write( "They have equal volume after pouring from bigger to smaller\r<BR>\n" );
document.write( "\n" );
document.write( "(384pi+216Pi)/2 = 300 pi \r<BR>\n" );
document.write( "\n" );
document.write( "bigger cylinder V= pi r^2 * h<BR>\n" );
document.write( "300 pi = pi * 4^2*h<BR>\n" );
document.write( "300/16 = 18.75 ft\r<BR>\n" );
document.write( "\n" );
document.write( "smaller cylinder<BR>\n" );
document.write( "300 pi = pi * 3^2*h\r<BR>\n" );
document.write( "\n" );
document.write( "300/9 = h<BR>\n" );
document.write( "h=33.3 ft\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );