document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871945>Question 871945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question1:<BR>\n" );
document.write( "A rectangular tank is 3m by 2.4m by 2m and is full of water. The water is pumped into an empty cylindrical tank of base radius 2m. how high up the tank will the water level rise?\r<BR>\n" );
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document.write( "Question2: <BR>\n" );
document.write( "A concrete tank has an external diameter of 10m and an internal heights of 3m. If the walls and bottom of the tank are 30cm thick, how many cubic metres of concrete are required to make the tank?\r<BR>\n" );
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document.write( "Question3:<BR>\n" );
document.write( "A homestead roof measures 10.7m by 24.6m. If 836mm falls on the roof per annum, and 90% of this water is collected in a tank, what volume of water is collected in a year?\r<BR>\n" );
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document.write( "Please try to answer my question thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525819 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=525819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular tank is 3m by 2.4m by 2m and is full of water. The water is pumped into an empty cylindrical tank of base radius 2m. how high up the tank will the water level rise?\r<BR>\n" );
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document.write( "Volume of water in tank = 3*2.4*2= 14.2 m^3\r<BR>\n" );
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document.write( "radius of cylindrical tank = 2m\r<BR>\n" );
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document.write( "V ( cylinder) = pi*r^2*h\r<BR>\n" );
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document.write( "14.2 = pi * 2^2*h\r<BR>\n" );
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document.write( "14.2/4*pi = h<BR>\n" );
document.write( "24.85 m high.\r<BR>\n" );
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document.write( "Question2: <BR>\n" );
document.write( "A concrete tank has an external diameter of 10m and an internal heights of 3m. If the walls and bottom of the tank are 30cm thick, how many cubic metres of concrete are required to make the tank?\r<BR>\n" );
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document.write( "external diameter = 10 m : radius = 5m---r1<BR>\n" );
document.write( "wall thick ness = 0.3 m <BR>\n" );
document.write( "internal radius = 5-0.3= 4.7 m---r2\r<BR>\n" );
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document.write( "Volume of curved area = 2*pi* thickness of wall<BR>\n" );
document.write( "2*pi*0.3<BR>\n" );
document.write( "0.6 pi<BR>\n" );
document.write( "Volume of base = pi*r1^2<BR>\n" );
document.write( "pi*5^2<BR>\n" );
document.write( "=25pi\r<BR>\n" );
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document.write( "Total volume of concrete = 25pi+0.6pi= 25.6 pi m^3<BR>\n" );
document.write( "plug value of pi<BR>\n" );
document.write( "Question3:<BR>\n" );
document.write( "A homestead roof measures 10.7m by 24.6m. If 836mm falls on the roof per annum, and 90% of this water is collected in a tank, what volume of water is collected in a year?<BR>\n" );
document.write( "1 mm rain is 1 liter on 1 m^2 area\r<BR>\n" );
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document.write( "The area of roof = 10.7*24.6 = 263.22 m^2\r<BR>\n" );
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document.write( "836 mm of rain = 836 liters / sq. m\r<BR>\n" );
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document.write( "volume of water = 263.22*836 <BR>\n" );
document.write( "=220952 liters of water will be collected </SPAN>\n" );
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