In Problem 5, consider a cylindrical gasoline tank has radius of R ft and length

Question

In Problem 5, consider a cylindrical gasoline tank has radius of R ft and length of L ft. The circular ends of the tank are perpendicular to the ground. The tank contains gasoline to a depth of k ft. Gasoline weighs 42 lb/ft^3. Find the volume of gasoline in the lank. Show your calculations. Include units with your answer. Find the force of the gasoline on the circular end of the tank. Show your calculations Include units with your answer. Find the work required to pump the gasoline to the top of the tank Show your calculations. Include units with your answer.

Explanation / Answer

area of the circular end of cylinder=¶R2 ft2

volume of gasoline in the tank=area*depth=¶R2k ft3

pressure at the circular end =volume xdensity xg where g is in ft/sec2=¶R2k42g

force=pressurexarea=¶R2k42g*¶R2=¶3R4k42g lbf

work required to pump =force x displacement

=¶3R4k42gxL lbf ft

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