document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025614>Question 1025614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three identical spheres of radius 4 inches, are placed in a cylinder of radius 7 inches. Find the minimum volume of water needed to completely submerge the three spheres. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640914 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three identical spheres of radius 4 inches, are placed in a cylinder of radius 7 inches. Find the minimum volume of water needed to completely submerge the three spheres.<BR>\n" );
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document.write( "Make a sketch with 4\" circles inside a rectangle 14\" wide.<BR>\n" );
document.write( "The bottom sphere is tangent to the bottom and 1 side.<BR>\n" );
document.write( "The middle sphere is tangent to the other side and the bottom sphere.<BR>\n" );
document.write( "Its center is 4 + sqrt(28) from the bottom.<BR>\n" );
document.write( "The top sphere's center is at 4 + 2sqrt(28) from the bottom --> the top of the top sphere is 8 + 2sqrt(28) inches from the bottom.<BR>\n" );
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document.write( "Vol of the cylinder is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%2A2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%2A2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 3 times one sphere's volume:<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A49%2A%288%2B2sqrt%2828%29%29+-+3%2A4%2Api%2A64%2F3 ALIGN=MIDDLE  ALT=\"pi%2A49%2A%288%2B2sqrt%2828%29%29+-+3%2A4%2Api%2A64%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A49%2A%288%2B2sqrt%2828%29%29+-+256pi ALIGN=MIDDLE  ALT=\"pi%2A49%2A%288%2B2sqrt%2828%29%29+-+256pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > cubic inches<BR>\n" );
document.write( "=~ 460.5 cu in </SPAN>\n" );
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