document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157622>Question 157622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a sphere with a diameter of 88,846 miles, and another sphere with a diameter of 7,926 miles. how would i find the surface area to compare, and then eventually find the ratio between the surface areas?\r<BR>\n" );
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document.write( "then, using the same numbers, i need to find the ratio of their volumes?<BR>\n" );
document.write( "which means i need to know how to find their volumes.\r<BR>\n" );
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document.write( "i know the formula for surface area is SA=4(3.14159)r^2<BR>\n" );
document.write( "or surface area=four times pi times the radius squared.\r<BR>\n" );
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document.write( "then the volume formula would be volume=4/3 times pi times radius cubed (^3)\r<BR>\n" );
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document.write( "i dont know if this makes ANY sense... but i dont understand why everytime i calculate such big numbers on my calculator, it says something about \"E+11\" at the end.. i dont understand it.\r<BR>\n" );
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document.write( "HELP?\r<BR>\n" );
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document.write( ":)thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116151 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=116151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Note: E+11 is exponential notation for 10^11 (that's eleven zeros)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let's take it one step at a time:<BR>\n" );
document.write( "how would i find the surface area to compare?<BR>\n" );
document.write( "SA=4(3.14159)r^2<BR>\n" );
document.write( "The above requires r (radius) but the information in the problem provided diameters.  But, we know that:<BR>\n" );
document.write( "radius = d/2 <BR>\n" );
document.write( "88,846 miles sphere: radius = 88846/2 = 44423 miles<BR>\n" );
document.write( "7,926 miles sphere: radius = 7926/2 = 3963 miles<BR>\n" );
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document.write( "SA of 88,846 miles sphere:<BR>\n" );
document.write( "4(3.14159)(44423)^2<BR>\n" );
document.write( "= 12.56636(44423)^2<BR>\n" );
document.write( "= 12.56636(1973402929)<BR>\n" );
document.write( "= 24798491630.86844 square miles<BR>\n" );
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document.write( "SA of 7,926 miles sphere:<BR>\n" );
document.write( "4(3.14159)(3963)^2<BR>\n" );
document.write( "= 12.56636(3963)^2<BR>\n" );
document.write( "= 12.56636(15705369)<BR>\n" );
document.write( "= 197359320.78684 square miles<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ratio of \"SA of 88,846 miles sphere\" to \"SA of 7,926 miles sphere\" then is<BR>\n" );
document.write( "24798491630.86844:197359320.78684<BR>\n" );
document.write( "= 24798491630.86844/197359320.78684<BR>\n" );
document.write( "= 125.651 (this is the ratio)<BR>\n" );
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document.write( "Volume of 88,846 miles sphere:<BR>\n" );
document.write( "(4/3)(pi)(44423)^3<BR>\n" );
document.write( "= (4.18879)(44423)^3<BR>\n" );
document.write( "= (4.18879)(87664478314967)<BR>\n" );
document.write( "= 367208090120950.61993 cubic miles<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Volume of 7,926 miles sphere:<BR>\n" );
document.write( "(4/3)(pi)(3963)^3<BR>\n" );
document.write( "= (4.18879)(3963)^3<BR>\n" );
document.write( "= (4.18879)(62240377347)<BR>\n" );
document.write( "= 260711870227.34013 cubic miles<BR>\n" );
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document.write( "Ratio of volumes:<BR>\n" );
document.write( "367208090120950.61993:260711870227.34013<BR>\n" );
document.write( "367208090120950.61993/260711870227.34013<BR>\n" );
document.write( "1408.482<BR>\n" );
document.write( " </SPAN>\n" );
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