1. Bellwork Clickers A pair of parallel lines are revolved about an axis to make a pair of cones. What is the volume of the shell if the two lines look like the following. A pair of parallel lines are revolved about an axis to make a pair of cones. What is the volume of the shell if the two lines look like the following. y=½x y=½x-½ 62

2. Bellwork Solution A pair of parallel lines are revolved about an axis to make a pair of cones. What is the volume of the shell if the two lines look like the following. A pair of parallel lines are revolved about an axis to make a pair of cones. What is the volume of the shell if the two lines look like the following. y=½x y=½x-½ 62

3. Chapter 12 Test

4. In Use What is the surface area of the object 44 8

5. In Use 6 13 What is the surface area of the object

6. In Use 5 8 What is the surface area of the object 4

7. In Use A triangular prism has a base as shown below and a height of 14. What is its surface area? 17.32 30 o

8. In Use A rectangular prism (A b =22, P b =19.25) has a height of 15, has two holes cut through it (top to bottom) of radius 1. What is the surface area of the object?

9. Example Find the surface area of the object below 20

10. Example Find the volume of the object below 34.64 20

11. Example A hexagonal prism’s base has a side length of 10’ and a height of 22’. What is the volume of the object?

12. Example Find the volume of the object below

13. Example Find the approximate volume of a sphere (radius 10.25”) with a rectangular prism (square base, s=3) cut through its axis