document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190642>Question 1190642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Your task is to design a swimming pool that will hold a total of 1000 cubic meters of water. You may choose one of the pools below.<BR>\n" );
document.write( "Prepare a proposal to meet the following condition:<BR>\n" );
document.write( "Pool A: a square with semicircles on each side at least 1 meter deep.<BR>\n" );
document.write( "Pool B: a circle, at least m deep.<BR>\n" );
document.write( "Pool C: a rectangle with semicircles, at least 1.5 m deep.<BR>\n" );
document.write( "Submit the following:<BR>\n" );
document.write( "Show the diagram of the pool. Label the dimensions.<BR>\n" );
document.write( "Show that the volume of each pool is approximately 1000m 3<BR>\n" );
document.write( "Explain how you obtained your answer. Show the complete solutions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822565 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=822565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your task is to design a swimming pool that will hold a total of 1000 cubic meters of water.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Volume = Area* Depth in all cases.<BR>\n" );
document.write( "---<BR>\n" );
document.write( " You may choose one of the pools below.<BR>\n" );
document.write( "Prepare a proposal to meet the following condition:<BR>\n" );
document.write( "Pool A: a square with semicircles on each side at least 1 meter deep.<BR>\n" );
document.write( "A square with sides = 2x and the 2 semicircles has an area of:<BR>\n" );
document.write( "4x^2 + pi*x^2 = x^2*(pi + 4) sq meters.<BR>\n" );
document.write( "x^2*(pi + 4)*d >= 1000 cu meters<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Pool B: a circle, at least m deep.<BR>\n" );
document.write( "Vol = pi*r^2*d >= 1000<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Pool C: a rectangle with semicircles, at least 1.5 m deep.<BR>\n" );
document.write( "Area = L*W + pi*(W/2)^2 >= 1000/1.5<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Submit the following:<BR>\n" );
document.write( "Show the diagram of the pool. Label the dimensions.<BR>\n" );
document.write( "Show that the volume of each pool is approximately 1000m 3<BR>\n" );
document.write( "Explain how you obtained your answer. Show the complete solutions. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );