document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935740>Question 935740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you are given a sphere with radius r. Which of the following quantities changes at a constant rate per unit change in r?\r<BR>\n" );
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document.write( "A. The circumference of the sphere divided by its volume<BR>\n" );
document.write( "B. The volume of the sphere divided by its circumference<BR>\n" );
document.write( "C. The area of the sphere divided by its volume<BR>\n" );
document.write( "D. The volume of the sphere divided by its area<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569013 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=569013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> formula for circumference of the sphere = 4/3 * pi * r^3<BR>\n" );
document.write( "formula for the area of the sphere is equal to 4 * pi * r^2<BR>\n" );
document.write( "formula for the circumference of the sphere is equal to 2 * pi * r\r<BR>\n" );
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document.write( "circumference divided by volume is equal to (2 * pi * r) / (4/3 * pi * r^3) which simplifies to 3 / (2 * r^2).\r<BR>\n" );
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document.write( "the change is not constant per unit of r.\r<BR>\n" );
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document.write( "the volume of the sphere divided by its circumference is equal to (4/3 * pi * r^3) / (2 * pi * r) which simplifies to (2 * r^2) / 3.\r<BR>\n" );
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document.write( "the change is not constant per unit of r.\r<BR>\n" );
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document.write( "The area of the sphere divided by its volume is equal to (4 * pi * r^2) / (4/3 * pi * r^3) which simplifies to 3 / r.\r<BR>\n" );
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document.write( "the change is not constant per unit of r.\r<BR>\n" );
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document.write( "the volume of the sphere divided by its area is aequal to (4/3 * pi * r^3) / (4 * pi * r^2) which simplifies to r / 3.\r<BR>\n" );
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document.write( "this change is constant per unit change of r.\r<BR>\n" );
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document.write( "when r = 1, the ratio is 1/3.<BR>\n" );
document.write( "when r = 2, the ratio is 2/3.<BR>\n" );
document.write( "when r = 3, the ratio if 3/3.<BR>\n" );
document.write( "when r = 4, the ratio is 4/3.\r<BR>\n" );
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document.write( "the ratio changes by 1/3 for every unit change in r.\r<BR>\n" );
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document.write( "selection D is your answer.\r<BR>\n" );
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