Question

Suppose we have a rectangular tank buried upright so that the top is 7ft underground. The tank is 11ft deep, 3ft wide, and 5ft long. It is filled to the 3 foot mark with gasoline, which has a density of 46.75lbs/ft3. Set up an integral which represents the work required to pump all of the gasoline into a container that sits 2ft above the surface.

Answer 1

1st we will find work required to pump out a horizontal slice of gasoline from tank and then integrate it to find total work done