2. A conical tank has height 10 ft and radius 8 ft. The tank is buried vertex-down so that the top is 6 ft underground. The tank is filled with kerosene (of density 51.21lb/ft³). (a) Write down an integral for the total fluid force on the side of the tank. (b) Suppose all the kerosene is pumped to ground level. Write down an integral for the work required to pump the oil.

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Chapter2: Second-order Linear Odes
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2. A conical tank has height 10 ft and radius 8 ft. The tank is buried vertex-down so that the top is 6 ft
underground. The tank is filled with kerosene (of density 51.2 lb/ft³).
(a) Write down an integral for the total fluid force on the side of the tank.
(b) Suppose all the kerosene is pumped to ground level. Write down an integral for the work required
to pump the oil.
Transcribed Image Text:2. A conical tank has height 10 ft and radius 8 ft. The tank is buried vertex-down so that the top is 6 ft underground. The tank is filled with kerosene (of density 51.2 lb/ft³). (a) Write down an integral for the total fluid force on the side of the tank. (b) Suppose all the kerosene is pumped to ground level. Write down an integral for the work required to pump the oil.
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