document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168325>Question 1168325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of the water in a hemisphere having a radius of 2 m is 2.05 cu. m. Find the height of the water.  It says in our book that the height should be 0.602 m.<BR>\n" );
document.write( "I have already tried solving it but I got lost in the middle. I hope you can help me with this. Thank you! <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851553 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The volume of the water in a hemisphere ( the water in the hemispherical bowl)  is given by \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%28pi%2F3%29h%5E2%2A%283r-h%29 ALIGN=MIDDLE  ALT=\"V+=+%28pi%2F3%29h%5E2%2A%283r-h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the radius and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+ ALIGN=MIDDLE  ALT=\"h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is height.\r<BR>\n" );
document.write( "\n" );
document.write( "Given that the radius of the hemisphere is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=2m ALIGN=MIDDLE  ALT=\"r=2m\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the volume of water is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=2.05m%5E3 ALIGN=MIDDLE  ALT=\"V=2.05m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.05+=+%28pi%2F3%29h%5E2%2A%283%2A2-h%29 ALIGN=MIDDLE  ALT=\"2.05+=+%28pi%2F3%29h%5E2%2A%283%2A2-h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.05+=+%28pi%2F3%29h%5E2%2A%286-h%29 ALIGN=MIDDLE  ALT=\"2.05+=+%28pi%2F3%29h%5E2%2A%286-h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.9576058000303127=+6h%5E2-h%5E3 ALIGN=MIDDLE  ALT=\"1.9576058000303127=+6h%5E2-h%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6h%5E2-h%5E3-1.9576058000303127=0 ALIGN=MIDDLE  ALT=\"6h%5E2-h%5E3-1.9576058000303127=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......factor\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+%28h+-+5.9446%29+%28h+-+0.60222%29+%28h+%2B+0.546824%29+=+0 ALIGN=MIDDLE  ALT=\"-1+%28h+-+5.9446%29+%28h+-+0.60222%29+%28h+%2B+0.546824%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+%28h+-+5.9446%29=0 ALIGN=MIDDLE  ALT=\"-1+%28h+-+5.9446%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=5.9446 ALIGN=MIDDLE  ALT=\"h=5.9446\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....disregard because is greater than diameter of the sphere\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h+%2B+0.546824%29+=+0 ALIGN=MIDDLE  ALT=\"%28h+%2B+0.546824%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-+0.546824 ALIGN=MIDDLE  ALT=\"h=-+0.546824\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....disregard negative solution\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h+-+0.60222%29=0 ALIGN=MIDDLE  ALT=\"%28h+-+0.60222%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=0.60222 ALIGN=MIDDLE  ALT=\"h=0.60222\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "answer:\r<BR>\n" );
document.write( "\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >≈<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.602 ALIGN=MIDDLE  ALT=\"0.602\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );