document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139006>Question 1139006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hemisphere of diameter 10cm is attached to a cylinder of equal diameter. If the total length of the shape is 20cm calculate:<BR>\n" );
document.write( "A) the surface area of the hemisphere <BR>\n" );
document.write( "B)length of cylinder <BR>\n" );
document.write( "C) surface area of the whole shape </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756826 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=756826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A hemisphere of diameter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10cm ALIGN=MIDDLE  ALT=\"10cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > is attached to a cylinder of equal diameter. If the total length of the shape is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20cm+ ALIGN=MIDDLE  ALT=\"20cm+\"   DISABLED_style= \"max-width:90%; height:auto;\" >calculate:\r<BR>\n" );
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document.write( "A) the surface area of the hemisphere \r<BR>\n" );
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document.write( "given: diameter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10cm ALIGN=MIDDLE  ALT=\"d=10cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> radius <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5cm ALIGN=MIDDLE  ALT=\"r=5cm\"   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=SA=2pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"SA=2pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2pi%2A%285cm%29%5E2 ALIGN=MIDDLE  ALT=\"SA=2pi%2A%285cm%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2pi%2A25cm%5E2 ALIGN=MIDDLE  ALT=\"SA=2pi%2A25cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=50pi%2Acm%5E2 ALIGN=MIDDLE  ALT=\"SA=50pi%2Acm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> exact solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+SA=157.14cm%5E2 ALIGN=MIDDLE  ALT=\"+SA=157.14cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>approximate solution\r<BR>\n" );
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document.write( "B) length of cylinder \r<BR>\n" );
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document.write( " If the total length of the shape is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20cm ALIGN=MIDDLE  ALT=\"20cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > calculate, the length of cylinder will be difference between  the total length of the shape  and radius of cylinder \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20cm-r=20cm-5cm=15cm ALIGN=MIDDLE  ALT=\"20cm-r=20cm-5cm=15cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C) surface area of the whole shape \r<BR>\n" );
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document.write( "will be of the hemisphere plus surface area of cylinder (without one base)<BR>\n" );
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document.write( " surface area of cylinder is:<BR>\n" );
document.write( "lateral surface area of cylinder is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2Arh ALIGN=MIDDLE  ALT=\"2pi%2Arh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "area of bottom of cylinder (circle) 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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bc%5D=2rpi%2Ah%2Br%5E2%2Api ALIGN=MIDDLE  ALT=\"SA%5Bc%5D=2rpi%2Ah%2Br%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >....plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5cm ALIGN=MIDDLE  ALT=\"r=5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=15cm ALIGN=MIDDLE  ALT=\"h=15cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bc%5D=2%2A5cmpi%2A15cm%2B%285cm%29%5E2%2Api ALIGN=MIDDLE  ALT=\"SA%5Bc%5D=2%2A5cmpi%2A15cm%2B%285cm%29%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bc%5D=150pi%2Acm%5E2%2B25cm%5E2%2Api ALIGN=MIDDLE  ALT=\"SA%5Bc%5D=150pi%2Acm%5E2%2B25cm%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bc%5D=175pi%2Acm%5E2 ALIGN=MIDDLE  ALT=\"SA%5Bc%5D=175pi%2Acm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> exact solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA%5Bc%5D=549.5cm%5E2 ALIGN=MIDDLE  ALT=\"SA%5Bc%5D=549.5cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>approximate solution\r<BR>\n" );
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document.write( "=>surface area of the whole shape is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=total=50pi%2Acm%5E2%2B175pi%2Acm%5E2=225pi%2Acm%5E2 ALIGN=MIDDLE  ALT=\"total=50pi%2Acm%5E2%2B175pi%2Acm%5E2=225pi%2Acm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> exact solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=total=157.14cm%5E2%2B549.5cm%5E2=706.64cm%5E2 ALIGN=MIDDLE  ALT=\"total=157.14cm%5E2%2B549.5cm%5E2=706.64cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>approximate solution\r<BR>\n" );
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document.write( " </SPAN>\n" );
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