document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104361>Question 1104361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sphere is just inclosed inside the right circular cylinder. If the volume of the gap between cylinder & sphere is 90 cm cube.Find the volume of the sphere.<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 #719111 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=719111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sphere is just inclosed inside the right circular cylinder.<BR>\n" );
document.write( " If the volume of the gap between cylinder & sphere is 90 cm cube.<BR>\n" );
document.write( " Find the volume of the sphere.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "cylinder vol  - sphere vol = 90<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 90<BR>\n" );
document.write( "The radius of the base of the cylinder and the radius of the sphere are the same<BR>\n" );
document.write( "The height of the cylinder = the diameter of the sphere or 2r<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2A2r ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2A2r\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 90<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A2r%5E3 ALIGN=MIDDLE  ALT=\"pi%2A2r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) - (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 90<BR>\n" );
document.write( "factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+-+4%2F3 ALIGN=MIDDLE  ALT=\"2+-+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 90<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 90<BR>\n" );
document.write( "multiply both sides b6 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"2%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 270<BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 135<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28135%2Fpi%29 ALIGN=MIDDLE  ALT=\"3sqrt%28135%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the cube root<BR>\n" );
document.write( "r = 3.5026 cm<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the vol of the sphere<BR>\n" );
document.write( "V = (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A3.5026%5E3 ALIGN=MIDDLE  ALT=\"pi%2A3.5026%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "V = 180 cu/cm<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The vol of the cylinder will be 270 cu/cm, interesting relationship!<BR>\n" );
document.write( "see if that checks out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A3.5026%5E2%2A7.0052 ALIGN=MIDDLE  ALT=\"pi%2A3.5026%5E2%2A7.0052\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 269.99, pretty close\r<BR>\n" );
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