# Volume of Solids of Revolution Exercises

### Example 1

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the x-axis.

### Example 2

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the y-axis.

### Example 3

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the line x = 1.

### Example 4

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the line x = 2.

### Example 5

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the line x = -1

### Example 6

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the line y = 1.

### Example 7

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the line y = 4.

### Example 8

Let R be the region bounded by the graphs of , x = 1, and the x-axis. Draw the solid obtained by rotating R around the line y = -1.