Unformatted text preview: Brine containing ½ pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The wellmixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes. 9. A tank in the form of a rightcircular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. Suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. The differential equation governing the height h of water leaking from the tank is 2 / 3 6 5 h dt dh= . In this model, friction and contraction of the water at the hole were taken into account with 6 . = c and 2 / 32 s ft g = . If the tank is initially full, how long will it take the tank to empty?...
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 Fall '10
 PamelaSatterfield
 Differential Equations, Equations, Imperial units, Tank

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