document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160561>Question 1160561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cube and a sphere each encloses 1000cm cubed. Which shape is taller, and by how much? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783898 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=783898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the volume of each is 1000 cubic centimeters.<BR>\n" );
document.write( "the formula for the volume of a cube is s^3 = 1000.<BR>\n" );
document.write( "s is the length of an edge of the cube.<BR>\n" );
document.write( "this makes s = cube root of 1000 = 10 centimeters.<BR>\n" );
document.write( "the formula for the volume of a sphere is 4/3 * pi * r^3 = 1000<BR>\n" );
document.write( "solve for r to get r = (1000 / (4/3 * pi))^( 1/3) = 6.203504909 centimeters.<BR>\n" );
document.write( "the diameter is equal to 2 times that = 12.40700982 centimeters.<BR>\n" );
document.write( "the height of the sphere is the diameter of the sphere, therefore the sphere is taller, assuming the cube is laying on one of its sides.<BR>\n" );
document.write( "the sphere is taller by 12.40700982 minus 10 = 2.40700982 feet.<BR>\n" );
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