document.write( "Question 898369: a roof with an area of 200m square collects rain into a 4 metre diameter tank. If 100mm of rain falls how much water is collected in metres cubed and how many cm will the water rise in the tank \n" ); document.write( "
Algebra.Com's Answer #544795 by mananth(16946)\"\" \"About 
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1mm rain means that every square meter covered with water with the height of 1mm.\r
\n" ); document.write( "\n" ); document.write( "One meter is 1000mm, so the total volume is 1000 x 1000 x 1 = 10^6 cubic mm or 10^3 cubic cm or 1 cubic dm, which is one liter. \r
\n" ); document.write( "\n" ); document.write( "So for every mm of rain you get one liter per square meter. \r
\n" ); document.write( "\n" ); document.write( " 200 m^2 by 1 mm you get 200 liters\r
\n" ); document.write( "\n" ); document.write( "100 mm means you get 200 * 100 liters =20000 liters= 20 m^3\r
\n" ); document.write( "\n" ); document.write( "diameter of tank = 4 m
\n" ); document.write( "radius = 2m
\n" ); document.write( "height of water = h\r
\n" ); document.write( "\n" ); document.write( "Volume = pi * r^2 * h\r
\n" ); document.write( "\n" ); document.write( "20 = pi * 2^2*h\r
\n" ); document.write( "\n" ); document.write( "20/4pi = h\r
\n" ); document.write( "\n" ); document.write( "15.07 m
\n" ); document.write( "1507 cm\r
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