1. The problem statement, all variables and given/known data A conical tank filled with kerosene is buried 4 feet underground. The density of kerosene is 51.2 lbs/ft3. The kerosene is pumped out until the level drops 5 feet. How much work is needed to pump the kerosene to the surface if the variable is given as: A. The distance between the vertex of the cone and the “slice”? B. The distance between the top of the cone and the “slice”?* C. The distance between the surface and the “slice”?* D. The distance between the final level of the kerosene and the “slice”?* 2. Relevant equations W = Force*distance Force=vol*density 3. The attempt at a solution My first question is- do I have the schematic set up right? Am I integrating the volume of the slice as indicated in A or B (I used A to set up my integral): *I am struggling with where to put the displacement (distance): A. The distance the slice must travel is the full length minus h (since it is only emptied to a certain depth) plus the 4 ft above ground; so d = (8-h) + 4 B. I would say distance the slice must travel is up the top of the cone (so the origin is at the rim, and h goes down to the slice), plus the 4 ft above ground, so d = h+4 C. I would say the distance the slice must travel is the full length plus the additional 4 ft, subtracted from the depth of h, so d = 12 - h [but why would it be the same as in part A?] D. The distance here is what made me think I initially set up my integral completely wrong, if so- would the distance then become (5-3)-h = 2-h?