Select region 2 from the Explore & Test page that is bounded by the curves y = (x - 3)2 when x > 3, x = 0, y = 4. Set the axis of revolution to be the y-axis and use the first slider to rotate the region around the y-axis. The solid generated resembles a coffee cup without a handle. Move the second slider to see how the volume of the disks can be used to approximate the volume of the coffee cup. (a) Express the radius R of each disk in terms of y. R(y) = (b) Find the cross-sectional area A of the disk in terms of y. Ay) = (c) Express the volume V of the solid generated in terms of a definite integral. (Enter your answer such the the lower bound of the integral is less than the upper bound). v=/ (d) Compute the volume of the solid generated. That is, compute the integral expressed in part (C). (Give your answer in terms of n.) V=