document.write( "Question 956378: Two rectangular water tanks with tops on the same level are connected by a pipe through their bottoms. The base of one is 6in higher than that of the other. Their dimensions are 4 by 5 by 2 1/2ft. and 4 by 7 by 3 ft., respectively. How deep is the water in the larger tank when the water they contain equals half their combined capacity, if the 2 1/2ft and 3ft edges are vertical? \n" ); document.write( "
Algebra.Com's Answer #584272 by macston(5194)\"\" \"About 
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Disregarding the connecting pipe:
\n" ); document.write( "Capacity of small tank=\"4ft%2A5ft%2A2.5ft=50ft%5E3\"
\n" ); document.write( "Capacity large tank=\"5ft%2A7ft%2A3ft=105ft%5E3\"
\n" ); document.write( "Combined capacity=\"50ft%5E3%2B105ft%5E3=155ft%5E3\" 1/2 capacity=\"77.5ft%5E3\"
\n" ); document.write( "If base of small tank is 0.5 ft higher:
\n" ); document.write( "The large tank will hold the first 6 inches: \"5ft%2A7ft%2A0.5ft=17.5ft%5E3\"
\n" ); document.write( "77.5cu ft-17.5 cu ft=60 cu ft remaining to split between both tanks.
\n" ); document.write( "Small tank holds: (4ft*5ft*1ft)=20 cu ft per foot deep
\n" ); document.write( "Large tank holds: (5ft*7ft*1ft)=35 cu ft per foot deep
\n" ); document.write( "Combined 55 cu ft per foot deep.
\n" ); document.write( "60 cu ft/55cu ft/ft deep=1.09 feet deep. Each tank will add 1.09 feet of water.
\n" ); document.write( "The bottom 0.5 foot of the large tank is already filled, so 1.09ft+0.50 ft=1.59 ft
\n" ); document.write( "ANSWER 1: If the small tank is higher, there is 1.59 feet of water in the larger tank
\n" ); document.write( "If base of large tank is 0.5 ft higher:
\n" ); document.write( "The small tank will hold the first 6 inches: \"4ft%2A5ft%2A0.5ft=10ft%5E3\"
\n" ); document.write( "77.5cu ft (1/2 capacity)- 10cu ft=67.5 cu ft to split between tanks.
\n" ); document.write( "67.5 cu ft/55 cu ft=1.23 feet deep. Each tank will add 1.23 feet of water
\n" ); document.write( "ANSWER 2: If the large tank is higher, there is 1.23 feet of water in the larger tank. \r
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