# Area, Volume, and Arc Length

### 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

*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

*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

*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

*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

*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