document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011899>Question 1011899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylinder is inscribed in a sphere of radius 1.<BR>\n" );
document.write( "a. Express the volume V of the cylinder as a function of the base radius r.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627719 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >= radius of the cylinder,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >= height of the cylinder.<BR>\n" );
document.write( "A cross-section of the sphere, with the cylinder<BR>\n" );
document.write( "(sliced along the middle) looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1.1%2C1.1%2C-1.1%2C1.1%2C%0D%0Agreen%28triangle%280%2C-0.8%2C0.6%2C-0.8%2C0%2C0%29%29%2C%0D%0Agreen%28rectangle%280%2C-0.8%2C0.6%2C0.8%29%29%2C%0D%0Agreen%28rectangle%280%2C-0.8%2C0.07%2C-0.73%29%29%2C%0D%0Arectangle%28-0.6%2C-0.8%2C0.6%2C0.8%29%2C%0D%0Acircle%280%2C0%2C1%29%2Ccircle%280%2C0%2C0.02%29%2C%0D%0Alocate%280.25%2C-0.37%2Cgreen%281%29%29%2C%0D%0Alocate%280.02%2C0.45%2Cgreen%28h%2F2%29%29%2C%0D%0Alocate%280.02%2C-0.35%2Cgreen%28h%2F2%29%29%2C%0D%0Alocate%280.2%2C-0.7%2CR%29%2Clocate%28-0.22%2C-0.7%2CR%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Applying the Pythagorean theorem, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%2F2%29%5E2%2BR%5E2=1%5E2 ALIGN=MIDDLE  ALT=\"%28h%2F2%29%5E2%2BR%5E2=1%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%2F2%29%5E2=1-R%5E2 ALIGN=MIDDLE  ALT=\"%28h%2F2%29%5E2=1-R%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F2=sqrt%281-R%5E2%29 ALIGN=MIDDLE  ALT=\"h%2F2=sqrt%281-R%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=2sqrt%281-R%5E2%29 ALIGN=MIDDLE  ALT=\"h=2sqrt%281-R%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since for a cylinder, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Volume=pi%2AR%5E2%2Ah ALIGN=MIDDLE  ALT=\"Volume=pi%2AR%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Volume=2pi%2AR%5E2%2Asqrt%281-R%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28Volume=2pi%2AR%5E2%2Asqrt%281-R%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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