Sketch the solid obtained by rotating each region around


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.

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Mathematics: Sketch the solid obtained by rotating each region around
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