# Worksheet: Surface Area of a Solid of Revolution

In this worksheet, we will practice applying definite integration to find the surface area of a solid generated by revolution of a region around an axis.

**Q1: **

The curve , , is an arc of the circle . Find the area of the surface obtained by rotating this arc about the .

- A
- B
- C
- D12
- E24

**Q2: **

The arc of the parabola from to is rotated about the . Find the area of the resulting surface.

- A
- B
- C
- D
- E

**Q3: **

Find the area of the surface generated by rotating the curve over the interval about the . Approximate your answer to the nearest one decimal place.

**Q4: **

Find the area of the surface generated by rotating the curve , where , about the . Approximate your answer to the nearest one decimal place.

**Q5: **

Find the area of the surface generated by rotating the region bounded by , , , and around the . Approximate your answer to the nearest one decimal place.