# 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.