This an integration question.

5. A cylindrical barrel is standing on its base, which has a of radius 0.25 m and height of 1 m. It is full of engine oil, which has density p = 872.5 kg/m . (Engine oil is less dense than water, which is why oil floats on water.) How much work is done in pumping out the entire barrel to a height of 0.1 m above the top of the barrel? Include a sketch of the barrel, a typical segment, and indicate the distance that the typical segment is being lifted. Remember that work is force applied over a distance, the force in this case is the weight of the oil, weight is mass times the acceleration due to gravity, g = 9.8 m/s , and mass is density times volume