document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255274>Question 255274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The surface area of a sphere is 3600 pi square inches. If v represents the volume of the sphere in cubic inches, what is  v/pi   ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187543 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> formula for the surface area of a sphere is:\r<BR>\n" );
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document.write( "s = 4 * pi * r^2\r<BR>\n" );
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document.write( "formula for the volume of a sphere is:\r<BR>\n" );
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document.write( "v = (4/3) * pi * r^3\r<BR>\n" );
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document.write( "since s = 4 * pi * r^2, and since s = 3600 * pi, then we get:\r<BR>\n" );
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document.write( "3600 * pi = 4 * pi * r^2\r<BR>\n" );
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document.write( "divide both sides of this equation by pi to get:\r<BR>\n" );
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document.write( "3600 = 4 * r^2\r<BR>\n" );
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document.write( "divide both sides of this equation by 4 to get:\r<BR>\n" );
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document.write( "900 = r^2\r<BR>\n" );
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document.write( "take square root of both sides of this equation to get:\r<BR>\n" );
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document.write( "r = 30\r<BR>\n" );
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document.write( "We want to find what v/pi equals.\r<BR>\n" );
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document.write( "since v = (4/3) * pi * r^3, and since r = 30, we get:\r<BR>\n" );
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document.write( "v = (4/3) * pi * (30)^3 which becomes:\r<BR>\n" );
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document.write( "v = (4/3) * pi * 27000\r<BR>\n" );
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document.write( "divide both sides of this equation by pi to get:\r<BR>\n" );
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document.write( "v/pi = (4/3) * 27000 = 36000.\r<BR>\n" );
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document.write( "our answer is:\r<BR>\n" );
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document.write( "v/pi = 36000\r<BR>\n" );
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document.write( " </SPAN>\n" );
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