document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953226>Question 953226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there! I am not very good at math and I have been stuck on this question for 20 minutes now. The question is: calculate the volume of a box to hold a sphere-shaped beaker with a volume of 413cm^3. The second part is : how much space is being occupied by the beaker and how much is being wasted, in percents.<BR>\n" );
document.write( "Thank you so much, I honestly have no idea what to do.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582092 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Volume of sphere=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%28pi%29%28r%5E3%29 ALIGN=MIDDLE  ALT=\"%284%2F3%29%28pi%29%28r%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=413cm%5E3=%284%2F3%29%28pi%29%28r%5E3%29 ALIGN=MIDDLE  ALT=\"413cm%5E3=%284%2F3%29%28pi%29%28r%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply each side by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28%284%29%28pi%29%29 ALIGN=MIDDLE  ALT=\"3%2F%28%284%29%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28413cm%5E3%29%283%29%29%2F%284%28pi%29%29=r%5E3 ALIGN=MIDDLE  ALT=\"%28%28413cm%5E3%29%283%29%29%2F%284%28pi%29%29=r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281239cm%5E3%29%2F12.57=r%5E3 ALIGN=MIDDLE  ALT=\"%281239cm%5E3%29%2F12.57=r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=98.6=r%5E3 ALIGN=MIDDLE  ALT=\"98.6=r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Find the cube root of each side.<BR>\n" );
document.write( "4.62cm=r<BR>\n" );
document.write( "The cubic box to hold the sphere must have edges=2r (diameter of the sphere)<BR>\n" );
document.write( "The volume of the cube =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28edge%29%5E3 ALIGN=MIDDLE  ALT=\"%28edge%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282r%29%5E3 ALIGN=MIDDLE  ALT=\"%282r%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.24%5E3cm%5E3 ALIGN=MIDDLE  ALT=\"9.24%5E3cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Volume of cube=789 cm^3<BR>\n" );
document.write( "Volume wasted=vol(cube)-vol(sphere)=789cm^3-413cm^3=376cm^3<BR>\n" );
document.write( "Percent of cube volume wasted=vol(wasted)/vol(cube)=(376cm^3/789cm^3)(100%)=47.7% </SPAN>\n" );
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