Question: Sketch the solid obtained by rotating each region around the indicated axis. Using the sketch, show how to approximate the volume of the solid by a Riemann sum, and hence find the volume.
1. Bounded by y = x3, x = 1, y = -1. Axis: y = -1.
2. Bounded by y = √x, x = 1, y = 0. Axis: x = 1.
3. Bounded by the first arch of y = sin x, y = 0. Axis: x axis.