The conical tank shown here is filled with olive oil weighing 41 lb/ft^3. How much work does it take to pump all of the oil to the rim of the tank? W = ft-lb (Round to the nearest whole number as needed.)
Step (1): First of all consider the oil is divided into different into thin slabs and a slab is situated at distance ‘y’ (from bottom of the cone) of thickness .
Step (2): Determine the volume of the considered oil slab using area and thickness of this slab.
Step (3): The force F(y) required to lift the considered oil slab using weight per unit volume and volume.
Step (4): The work required to lift the slab upto the rim of cone can be determined by multiplying force with distance.
Step (5): Since number of oil slabs ‘n’ tends to infinity, total work done can be calculated by integrating the work in the interval [0, 20].
You'll get a detailed, step-by-step and expert verified solution.