document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170246>Question 1170246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.a) Deduce that the total surface area S of a cylinder closed at both ends with height, H and base radius R is given by: S=2πR(R+H) where π is a constant.<BR>\n" );
document.write( "b) Find the volume of S given that H =15.0m and R =5.0m (leaving your answer in terms of π)<BR>\n" );
document.write( "c) Calculate the amount of water the tank can hold leaving your answer in terms of π.<BR>\n" );
document.write( "d) Calculate the height (h) of a cuboid tank of cross-sectional area 25 metre cube which has the same capacity as the cylinder tank in (c) above.\r<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 #837973 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.a) Deduce that the total surface area S of a cylinder closed at both ends with height, H and base radius R is given by: S=2πR(R+H) where π is a constant.\r<BR>\n" );
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document.write( "The total surface area comprises of the circular bases at top and bottom and the lateral surface area\r<BR>\n" );
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document.write( "Area of bases = 2 pi r^2\r<BR>\n" );
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document.write( "Lateral surface area = circumference * height = 2 pi r\r<BR>\n" );
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document.write( "Total surface area = 2pi r^2+2pirh = 2pir(r+h)\r<BR>\n" );
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document.write( "b) Find the volume of S given that H =15.0m and R =5.0m (leaving your answer in terms of π)<BR>\n" );
document.write( "S = 2*pi*5(15+5)=  200 pi m^3\r<BR>\n" );
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document.write( "c) Calculate the amount of water the tank can hold leaving your answer in terms of π.\r<BR>\n" );
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document.write( "1m^3= 1000 litres\r<BR>\n" );
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document.write( "d) Calculate the height (h) of a cuboid tank of cross-sectional area 25 metre cube which has the same capacity as the cylinder tank in (c) above.<BR>\n" );
document.write( "V = area * height\r<BR>\n" );
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document.write( "200pi= 25*h\r<BR>\n" );
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document.write( "h=8pi\r<BR>\n" );
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