Please include as much detail as possible, include all work and make sure that the formula abd integration are spot-on!! Calculations need to be accurate. See below

40 PLS Define R as the region bounded by the graphs of f(z) - VT and g(x) - in the interval [0, 2]. Evaluate the volume of the solid of revolution formed by rotating R about the line z - 3. . When finding the volume of a solid of revolution, we follow the steps below. 1. Sketch a graph of the function in the cy-plane. 2. Perform a revolution about the line - k and examine the resulting solid. 3. Determine the formula for the area of a cylindrical shell of the solid, A = 2arh. 4. Integrate the area formula over the appropriate interval to get the volume