Volume by Integration: Disk Method Practice Problems

1. Rotate the area bounded by x = 0, y = 0, y = 3, and x = 0.5y^{2} about the y axis and determine the volume.

2. Calculate the volume of a wine glass. The outer edge is described by y = 0.5x^{3}, and the radius at the top is 2 inches.

3. Find the volume of y^{2} = 8x rotated about the x = 2 axis.