document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189016>Question 1189016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A water tank is made in the form of a right cylinder capped by hemispheres at both ends. The cylinder has a base radius of 40 cm and an altitude of 50 cm. (a) find the total capacity of the tank. (b) if the tank contains 300 l of water, find the area of the wetted surface. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820242 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A water tank is made in the form of a right cylinder capped by hemispheres at both ends.<BR>\n" );
document.write( " The cylinder has a base radius of 40 cm and an altitude of 50 cm.<BR>\n" );
document.write( "  (a) find the total capacity of the tank.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Volume is the volume of the cylinder plus the volume of a sphere<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2Ar%5E2%2Ah%29+%2B+%28%284%2F3%29%2Api%2Ar%5E3%29 ALIGN=MIDDLE  ALT=\"%28pi%2Ar%5E2%2Ah%29+%2B+%28%284%2F3%29%2Api%2Ar%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where:<BR>\n" );
document.write( "r = 40<BR>\n" );
document.write( "h = 50<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A40%5E2%2A50%29+%2B+%28%284%2F3%29%2Api%2A40%5E3%29 ALIGN=MIDDLE  ALT=\"%28pi%2A40%5E2%2A50%29+%2B+%28%284%2F3%29%2Api%2A40%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the math<BR>\n" );
document.write( "v = 251327.4 + 268082.6<BR>\n" );
document.write( "V = 519410 cu/cm<BR>\n" );
document.write( "1 liter is 1000 cu/cm<BR>\n" );
document.write( "519410/1000 = 519.41 liters<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) if the tank contains 300 l of water, find the area of the wetted surface<BR>\n" );
document.write( "Find the volume contained in the hemisphere<BR>\n" );
document.write( "268082.6/2 = 134041.3 cu/cm<BR>\n" );
document.write( "Find the volume in the cylinder (300 liters is 300000 cu/cm)<BR>\n" );
document.write( "300000-134041.3 = 165958.7 cu/in<BR>\n" );
document.write( "Find the height of the a cylinder of water of this amt<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A40%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2A40%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 165958.7<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165958.7%2F%28pi%2A40%5E2%29 ALIGN=MIDDLE  ALT=\"165958.7%2F%28pi%2A40%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 33 cm<BR>\n" );
document.write( "Find the surface area in the hemisphere: A = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A40%5E2 ALIGN=MIDDLE  ALT=\"2%2Api%2A40%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 10053.1 sq/cm the wet area in the hemisphere<BR>\n" );
document.write( "Find the wet area in the cylinder<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A40%2A33 ALIGN=MIDDLE  ALT=\"2%2Api%2A40%2A33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 8293.8 sq area<BR>\n" );
document.write( "Total wet area<BR>\n" );
document.write( "10053.1 + 8293.8 ~ 18347 sq/cm is wet\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );