Volumes by Integration

Volumes by Integration: Shell Method Practice Problems

1. Determine the volume created by rotating the area bounded by the x axis, y=x^1/2, x=4 about the x axis.

2. Rotate the area bounded by the x and y axes and y=3-x² about the y axis and find the volume.

3. Take the area bounded by the x axis and y=5x-x²-4 and rotate it about the y axis and determine the volume.