document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106906>Question 106906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!<BR>\n" );
document.write( "Two designs for and oil storage tank are being considered: spherical and cylindrical.  The two tanks would have the same capacity and would each have an inside diameter of 60 feet.<BR>\n" );
document.write( "a)what would be the height of the cylindrical tank?<BR>\n" );
document.write( "b) If one cubic foot holds 7.5 gallons of oil, what is the capacity of each tank in gallons?<BR>\n" );
document.write( "c)Which of the two designs has the smallest surface area and would thus require less material in its construction? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78006 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=78006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two designs for and oil storage tank are being considered: spherical and cylindrical. The two tanks would have the same capacity and would each have an inside diameter of 60 feet.<BR>\n" );
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document.write( "a)what would be the height of the cylindrical tank?<BR>\n" );
document.write( " r = 30 ft<BR>\n" );
document.write( "Cylinder Vol = Sphere Vol<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A30%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2A30%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2A30%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2A30%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Api%2A30%5E2%2Ah ALIGN=MIDDLE  ALT=\"3%2Api%2A30%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2A30%5E3 ALIGN=MIDDLE  ALT=\"4%2Api%2A30%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A30%5E2 ALIGN=MIDDLE  ALT=\"pi%2A30%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you have:<BR>\n" );
document.write( "3h = 4*30<BR>\n" );
document.write( "h = 120/3<BR>\n" );
document.write( "h = 40 ft is the height of the cylinder<BR>\n" );
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document.write( "You can check this by finding the volume of both, see if they equal 113,097.3 cu/ft<BR>\n" );
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document.write( "b) If one cubic foot holds 7.5 gallons of oil, what is the capacity of each tank in gallons?<BR>\n" );
document.write( "113097.3 * 7.5 = 848,230 gal<BR>\n" );
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document.write( "c)Which of the two designs has the smallest surface area and would thus require less material in its construction?<BR>\n" );
document.write( "Sphere  would have the smallest surface area<BR>\n" );
document.write( "Sphere:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2A30%5E2 ALIGN=MIDDLE  ALT=\"4%2Api%2A30%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 11,309.7 sq ft<BR>\n" );
document.write( "Cylinder:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A30%5E2 ALIGN=MIDDLE  ALT=\"2%2Api%2A30%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A30%2A40 ALIGN=MIDDLE  ALT=\"2%2Api%2A30%2A40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 13,194.7 sq ft<BR>\n" );
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document.write( "Did this make sense to you? </SPAN>\n" );
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