document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=849775>Question 849775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume and curved surface area a cylinder are 1650cm^3 and 660cm^2 respectively. Find the radius and height of the cylinder </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511787 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=511787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume and curved surface area of a cylinder are 1650cm^3 and 660cm^2 respectively.<BR>\n" );
document.write( " Find the radius and height of the cylinder.<BR>\n" );
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document.write( "let r = the radius<BR>\n" );
document.write( "let h = the height<BR>\n" );
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document.write( "Volume: <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;\" > = 1650<BR>\n" );
document.write( "Curved surface: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2Ar%2Ah ALIGN=MIDDLE  ALT=\"2pi%2Ar%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 660<BR>\n" );
document.write( "make both equations = to h<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1650%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"1650%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=660%2F%282pi%2Ar%29 ALIGN=MIDDLE  ALT=\"660%2F%282pi%2Ar%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330%2F%28pi%2Ar%29 ALIGN=MIDDLE  ALT=\"330%2F%28pi%2Ar%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330%2F%28pi%2Ar%29 ALIGN=MIDDLE  ALT=\"330%2F%28pi%2Ar%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1650%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"1650%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar ALIGN=MIDDLE  ALT=\"pi%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you have<BR>\n" );
document.write( "330 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1650%2Fr ALIGN=MIDDLE  ALT=\"1650%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1650%2F330 ALIGN=MIDDLE  ALT=\"1650%2F330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 5 cm is the radius<BR>\n" );
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document.write( "Find the height<BR>\n" );
document.write( "h - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330%2F%28pi%2A5%29 ALIGN=MIDDLE  ALT=\"330%2F%28pi%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330%2F15.7%29 ALIGN=MIDDLE  ALT=\"330%2F15.7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 21.0 cm is the height<BR>\n" );
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document.write( "Check this by finding the volume with these values<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A5%5E2%2A21 ALIGN=MIDDLE  ALT=\"pi%2A5%5E2%2A21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 1649.33, a slight error from rounding off\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );