document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117694>Question 117694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help! : The total surface area of a solid cylinder is 231cm^2 and its curved surface area is two-thirds of the total surface area. Find the volume of the cylinder. (Take pi-22/7) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85826 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=85826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total surface area of a solid cylinder is 231cm^2 and its curved surface area is two-thirds of the total surface area. Find the volume of the cylinder. (Take pi-22/7)<BR>\n" );
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document.write( "The total surface area of cylinder:<BR>\n" );
document.write( "A = 2(pi*r^2) + (2*pi*r)*h = 231<BR>\n" );
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document.write( "Curved surface 2*pi*r*h  given as 2/3 of the total<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "2(pi*r^2) would be 1/3 the total;  which is 231/3 = 77<BR>\n" );
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document.write( "Flat ends area<BR>\n" );
document.write( "2*(22/7)*r^2 = 77<BR>\n" );
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document.write( "(44/7)*r^2 = 77<BR>\n" );
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document.write( "r^2 = 77 * (7/44)<BR>\n" );
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document.write( "r^2 - 539/44<BR>\n" );
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document.write( "r^2 = 12.25<BR>\n" );
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document.write( "r = sqrt(12.25)<BR>\n" );
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document.write( "r = 3.5 cm is the radius<BR>\n" );
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document.write( "Find h from the curved area; given as 2/3(231) =  154<BR>\n" );
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document.write( "Substitute 3.5 for r<BR>\n" );
document.write( "2*pi*3.5*h = 154<BR>\n" );
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document.write( "(44/7)*3.5* h= 154<BR>\n" );
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document.write( "(154/7)*h = 154<BR>\n" );
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document.write( "h = 154 * (7/154)<BR>\n" );
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document.write( "cancel 154<BR>\n" );
document.write( "h = 7 cm is the height<BR>\n" );
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document.write( "We know the volume of cylinder = pi*r^2*h<BR>\n" );
document.write( "V = (22/7)* 3.5^2 * 7<BR>\n" );
document.write( "Cancel the 7<BR>\n" );
document.write( "V = 22 * 12.25<BR>\n" );
document.write( "V = 269.5 cu cm<BR>\n" );
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document.write( "Did this make sense to you? </SPAN>\n" );
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