document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195855>Question 1195855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate for the surface area of a frustum of a sphere if the diameter of its ends are 80 cm and 120 cm and the thickness is 30 cm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828458 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=828458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <a  rel=nofollow HREF=\"https://ibb.co/JCZp5J2\"><IMG STYLE=\"max-width:80%;\" src=\"https://i.ibb.co/JCZp5J2/study140122-frustum026245915134941061485.png\" alt=\"study140122-frustum026245915134941061485\" border=\"0\"></a>\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "the diameter of its ends are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80cm ALIGN=MIDDLE  ALT=\"80cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120cm ALIGN=MIDDLE  ALT=\"120cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the thickness is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30cm ALIGN=MIDDLE  ALT=\"30cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A=pi(a^2+b^2+2Rh)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the radius of the smaller base-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=80cm%2F2=40cm ALIGN=MIDDLE  ALT=\"a=80cm%2F2=40cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >is the radius of the larger base-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=120cm%2F2=60cm ALIGN=MIDDLE  ALT=\"b=120cm%2F2=60cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the radius of the sphere<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the difference in height of the two base-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=30cm ALIGN=MIDDLE  ALT=\"h=30cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As we can see, we first have to determine the radius of the sphere <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We can find the radius from the given base diameters and frustum height.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=sqrt%28b%5E2%2B%28b%5E2-a%5E2-h%5E2%29%2F%282h%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"R=sqrt%28b%5E2%2B%28b%5E2-a%5E2-h%5E2%29%2F%282h%29%29%5E2%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=R=sqrt%2860%5E2%2B%28%2860%5E2-40%5E2-30%5E2%29%2F%282%2A30%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"R=sqrt%2860%5E2%2B%28%2860%5E2-40%5E2-30%5E2%29%2F%282%2A30%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=62.74 ALIGN=MIDDLE  ALT=\"R=62.74\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then the area is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=pi%2840%5E2%2B60%5E2%2B2%2A62.74%2A30%29 ALIGN=MIDDLE  ALT=\"A=pi%2840%5E2%2B60%5E2%2B2%2A62.74%2A30%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=A=28162.49cm%5E2 ALIGN=MIDDLE  ALT=\"A=28162.49cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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