document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=961500>Question 961500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If r = 7 cm and h = 5 cm, what is the approximate surface area of the cylinder? (Use 3.14 for pi.) </SPAN>\n" );
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document.write( " Well if you can make the cylinder with the rectangle and the two circles, you can use them to derive the surface area of the cylinder.\r<BR>\n" );
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document.write( "The area of the two circles is straightforward. The area of one circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi+%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi+%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so for two circles, you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2A+pi+%2A+r%5E2 ALIGN=MIDDLE  ALT=\"2+%2A+pi+%2A+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-the longest side or folded side of the rectangle must be equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2A+pi+%2A+r ALIGN=MIDDLE  ALT=\"2+%2A+pi+%2A+r\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the circumference of the circle\r<BR>\n" );
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document.write( "To get the area of the rectangle, multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A+pi+%2A+r ALIGN=MIDDLE  ALT=\"2%2A+pi+%2A+r\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2A+pi+%2A+r+%2Ah ALIGN=MIDDLE  ALT=\"2+%2A+pi+%2A+r+%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Therefore, the total surface area of the cylinder, call it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA ALIGN=MIDDLE  ALT=\"SA\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA+=+2+%2A+pi+%2A+r%5E2+%2B+++2+%2A+pi+%2A+r+%2Ah ALIGN=MIDDLE  ALT=\"SA+=+2+%2A+pi+%2A+r%5E2+%2B+++2+%2A+pi+%2A+r+%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >........plug in given values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+7cm ALIGN=MIDDLE  ALT=\"r+=+7cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+5cm ALIGN=MIDDLE  ALT=\"h+=+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+=+2+%2A+3.14+%2A+%287cm%29%5E2+%2B+++2+%2A+3.14%2A%287cm%29+%2A%285cm%29 ALIGN=MIDDLE  ALT=\"SA+=+2+%2A+3.14+%2A+%287cm%29%5E2+%2B+++2+%2A+3.14%2A%287cm%29+%2A%285cm%29\"   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+=+6.28+%2A+49cm%5E2+%2B+++6.28%2A7cm+%2A5cm ALIGN=MIDDLE  ALT=\"SA+=+6.28+%2A+49cm%5E2+%2B+++6.28%2A7cm+%2A5cm\"   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+=+307.72cm%5E2+%2B++219.8cm%5E2 ALIGN=MIDDLE  ALT=\"SA+=+307.72cm%5E2+%2B++219.8cm%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=SA+=+527.52cm%5E2 ALIGN=MIDDLE  ALT=\"SA+=+527.52cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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