document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191520>Question 191520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the surface area of a sphere is 40 pi cm^2, find its volume. \r<BR>\n" );
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document.write( "And given that the area of an equilateral triangle is 67 cm^2, find its perimeter.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143943 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=143943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the surface area of a sphere is 40 pi cm^2, find its volume.<BR>\n" );
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document.write( "Two formulas: V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > & SA = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"4%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"4%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40*pi<BR>\n" );
document.write( "Divide both sides by 4pi<BR>\n" );
document.write( "r^2 = 10<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the Volume<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2Api%2A%28sqrt%2810%29%29%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2Api%2A%28sqrt%2810%29%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 132.46 cu/cm<BR>\n" );
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document.write( "And given that the area of an equilateral triangle is 67 cm^2, find its perimeter.<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let x = the side of the triangle;<BR>\n" );
document.write( "Find the height:  <BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+-+%28.5x%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+-+%28.5x%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28.75x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28.75x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find x using the area:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Ax%2Asqrt%28.75x%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Ax%2Asqrt%28.75x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 67<BR>\n" );
document.write( "Multiply both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%28.75x%5E2%29 ALIGN=MIDDLE  ALT=\"x%2Asqrt%28.75x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 134<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax%2Asqrt%28.75%29 ALIGN=MIDDLE  ALT=\"x%2Ax%2Asqrt%28.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 134<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Asqrt%28.75%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Asqrt%28.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 134<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=134%2F%28sqrt%28.75%29%29 ALIGN=MIDDLE  ALT=\"134%2F%28sqrt%28.75%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x^2 = 154.73<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28154.73%29 ALIGN=MIDDLE  ALT=\"sqrt%28154.73%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12.44<BR>\n" );
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document.write( "P = 3(12.44)<BR>\n" );
document.write( "P = 37.3 cm\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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