(1 point) Book Problem 1 Let S be the solid obtained by rotating the region bounded by the given curves about the y-axis: y = x(x-7)2, y = 0. Note that it is akward to use the method of slicing to find the volume V of S. Sketch a typical approximating shell. The circumference of this shell = The height of this shell = dx, .b Using the method of cylindrical shells, V = S where a = and b = Therefore the volume V =