document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141257>Question 141257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying to help my daughter with her science fair project.  Her project was to find out if 3 different shaped containers(we used cylinder, round and square)with the same volume of water (355ml) in each, then frozen, would melt at the same or different speeds.  I know that the one with the larger surface area will melt faster but what I'm not sure of is how to find out the surface area of each container.  I didn't think it would be accurate to use the traditional surface area formula, measuring the container since the container isn't filled all the way.  Hope this makes sense. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102950 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You MUST fill the containers completely.<BR>\n" );
document.write( "They must be frozen in the same space so they are at the same temp.<BR>\n" );
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document.write( "Sphere:<BR>\n" );
document.write( "V=(4pi*r^3)/3<BR>\n" );
document.write( "355=(4pi*r^3)/3<BR>\n" );
document.write( "355*3=4pi*r^3<BR>\n" );
document.write( "1065/4=pi*r^3<BR>\n" );
document.write( "266.25=pi*r^3<BR>\n" );
document.write( "r^3=266.25/pi<BR>\n" );
document.write( "r^3=84.75...<BR>\n" );
document.write( "r=4.39... cm<BR>\n" );
document.write( "d=8.8... cm. (diameter of the sphere)<BR>\n" );
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document.write( "Cube:<BR>\n" );
document.write( "s^3=V<BR>\n" );
document.write( "s^3=355<BR>\n" );
document.write( "s=7.0... cm (length of a side of the cube)<BR>\n" );
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document.write( "Cylinder:<BR>\n" );
document.write( "pi*r^2*h=V<BR>\n" );
document.write( "Let the height be 10 cm<BR>\n" );
document.write( "pi*r^2*10=355<BR>\n" );
document.write( "pi*r^2=355/10=35.5<BR>\n" );
document.write( "r^2=35.5/pi=11.3...<BR>\n" );
document.write( "r=3.36<BR>\n" );
document.write( "d=6.7...cm.<BR>\n" );
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document.write( "With the above measurements you can construct your containers.<BR>\n" );
document.write( "You might make them out of clay.<BR>\n" );
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document.write( "Surface Areas:<BR>\n" );
document.write( "Sphere:<BR>\n" );
document.write( "4pi*r^2<BR>\n" );
document.write( "4pi*4.39^2=242 cm^2<BR>\n" );
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document.write( "Cube:<BR>\n" );
document.write( "49*6=294 cm^2<BR>\n" );
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document.write( "Cylinder:<BR>\n" );
document.write( "2pi*r*h+2pi*r^2<BR>\n" );
document.write( "=2pi*3.36*10 + 2pi*3.36^2<BR>\n" );
document.write( "=211+71<BR>\n" );
document.write( "=282 cm^2<BR>\n" );
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document.write( "The sphere should melt last.<BR>\n" );
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document.write( "Good luck with your adventure!<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );