document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011361>Question 1011361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HEMISPHERE ON HEMISPHERE.THE LARGE ONE HAS DIAMETER 22CM SMALLER 12CM WHAT IS THE TOTAL SURFACE AREA.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626990 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</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=626990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "You must know that the surface area of a sphere is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"4pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "A <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hemisphere ALIGN=MIDDLE  ALT=\"hemisphere\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=half ALIGN=MIDDLE  ALT=\"half\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sphere ALIGN=MIDDLE  ALT=\"sphere\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this must mean that the curved surface area of a hemisphere is the surface area of a sphere divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "That is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi%2Ar%5E2%2F2 ALIGN=MIDDLE  ALT=\"4pi%2Ar%5E2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which gives the following expression: \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Curved_+Surface_+Area+=2pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"Curved_+Surface_+Area+=2pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Total Surface Area of Hemisphere includes the circular base  below the curve and its area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2Api+ ALIGN=MIDDLE  ALT=\"r%5E2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+_Surface+_Area+_of_+Hemisphere+=2pi%2Ar%5E2%2Br%5E2%2Api+ ALIGN=MIDDLE  ALT=\"Total+_Surface+_Area+_of_+Hemisphere+=2pi%2Ar%5E2%2Br%5E2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if the large has diameter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22cm ALIGN=MIDDLE  ALT=\"22cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then its radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11cm ALIGN=MIDDLE  ALT=\"11cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+_Surface+_Area+_of_+larger_Hemisphere+=2pi%2A%2811cm%29%5E2%2B%2811cm%29%5E2%2Api+ ALIGN=MIDDLE  ALT=\"Total+_Surface+_Area+_of_+larger_Hemisphere+=2pi%2A%2811cm%29%5E2%2B%2811cm%29%5E2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+_Surface+_Area+_of_+larger_Hemisphere+=2pi%2A121cm%5E2%2B121cm%5E2%2Api+ ALIGN=MIDDLE  ALT=\"Total+_Surface+_Area+_of_+larger_Hemisphere+=2pi%2A121cm%5E2%2B121cm%5E2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+_Surface+_Area+_of_larger_+Hemisphere+=pi%2A242cm%5E2%2B121cm%5E2%2Api+ ALIGN=MIDDLE  ALT=\"Total+_Surface+_Area+_of_larger_+Hemisphere+=pi%2A242cm%5E2%2B121cm%5E2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+_Surface+_Area+_of_larger_+Hemisphere+=363cm%5E2%2Api+ ALIGN=MIDDLE  ALT=\"Total+_Surface+_Area+_of_larger_+Hemisphere+=363cm%5E2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if their bases touching each other, then the area of the bases of smaller hemisphere will be already included in the area of the bases of greater hemisphere; so for smaller hemisphere we will need only curved surface area \r<BR>\n" );
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document.write( "and if the smaller has diameter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12cm ALIGN=MIDDLE  ALT=\"12cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then its radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6cm ALIGN=MIDDLE  ALT=\"6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Curved_+Surface_+Area_of_smaller_+Hemisphere++=2pi%2A%286cm%29%5E2+ ALIGN=MIDDLE  ALT=\"Curved_+Surface_+Area_of_smaller_+Hemisphere++=2pi%2A%286cm%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Curved_+Surface_+Area_of_smaller_+Hemisphere++=2pi%2A36cm%5E2+ ALIGN=MIDDLE  ALT=\"Curved_+Surface_+Area_of_smaller_+Hemisphere++=2pi%2A36cm%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Curved_+Surface_+Area_of_smaller_+Hemisphere++=72cm%5E2%2Api+ ALIGN=MIDDLE  ALT=\"Curved_+Surface_+Area_of_smaller_+Hemisphere++=72cm%5E2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and, total surface area of both hemispheres will be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+_Surface+_Area+_of_larger_+Hemisphere%2BCurved_+Surface_+Area_of_smaller_+Hemisphere++=363cm%5E2%2Api+%2B72cm%5E2%2Api ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+_Surface+_Area+_of_larger_+Hemisphere%2BCurved_+Surface_+Area_of_smaller_+Hemisphere++=435cm%5E2%2Api ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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