a. Suppose that the conical container in Example 5 contains milk (weighing 64.5 lb/ft³) instead of olive oil. How much work will it take to pump the contents to the rim?

b. How much work will it take to pump the oil in Example 5 to a level 3 ft above the cone’s rim?

Example 5

The conical tank in Figure 6.39 is filled to within 2 ft of the top with olive oil weighing 57 lb/ft³. How much work does it take to pump the oil to the rim of the tank?

10-y 10 8 y y = 2x or x = Ay (5, 10) y X 5 FIGURE 6.39 The olive oil and tank in Example 5.