BellworkClickers

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=½xy=½x-½

62

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.

y=½xy=½x-½

623

3

3

3

.8.33

.9.67

.12.67

.18

A u

B u

C u

D u

Chapter 12 Test

In Use

2

2

2

2

.32

.68

.69.68

.80

A u

B u

C u

D u

What is the surface area of the object

44

8

In Use

2

2

2

2

.314.16

.628.32

.716.28

.1470.27

A u

B u

C u

D u

6

13

What is the surface area of the object

In Use

2

2

2

2

.40

.160

.164

.184

A u

B u

C u

D u

5

8

What is the surface area of the object

4

In Use

2

2

2

2

.662.48

.835.69

.1212.44

.2186.64

A u

B u

C u

D u

A triangular prism has a base as shown below and a height of 14. What is its surface area?

17.32

30o

In Use

2

2

2

2

.213.62

.377

.508.68

.659.48

A u

B u

C u

D u

A rectangular prism (Ab=22, Pb=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?

ExampleFind the surface area of the object below

2

2

2

2

.506.97

.392.70

.402.12

.726.20

A u

B u

C u

D u

20

ExampleFind the volume of the object below

3

3

3

3

.4836.80

.8377.58

.13244.59

.14510.39

A u

B u

C u

D u

34.64

20

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

3

3

3

3

.1839.62

.2341.12

.3166.73

.5715.77

A ft

B ft

C in

D in

ExampleFind the volume of the object below

3

3

3

3

.21.33

.122.67

.144

.165.33

A u

B u

C u

D u

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

3

3

3

3

.4326.4

.4418.6

.4510.9

.4695.37

A in

B in

C in

D u