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Concept 32, 33, 36 Review

Total questions: 19

Worksheet time: 2hrs 35mins

Name
Class
Date
1.

Concept 32:


What is the surface area of the cone, to the nearest whole number?


T = πrℓ + πr2

a)

221 cm2

b)

240 cm2

c)

304 cm2

d)

620 cm2

2.

Concept 32:


What is the volume of the pyramid?


V = (1/3)Bh

a)

56 ft3

b)

130.67 ft3

c)

196 ft3

d)

392 ft3

3.

Concept 32:


What is x if the volume of the cylinder is 768π cm3?


V = πr2h

a)

12 cm

b)

20 cm

c)

36 cm

d)

48 cm

4.

Concept 32:


Find the surface area of the sphere. Leave your answer in terms of π.


T = 4πr2

a)

60π mm2

b)

360π mm2

c)

400π mm2

d)

1600π mm2

5.

Concept 32:


Find the volume of the triangular prism to the nearest tenth.


V = Bh

a)

1575 m3

b)

1925 m3

c)

2050 m3

d)

3850 m3

6.

Concept 32:


The surface area of a cone is 16.8π in2. The radius is 3 in. What is the slant height?


T = πr + πr2

a)

3 in.

b)

π in.

c)

7.8 in.

d)

2.6 in.

7.

Concept 33:


What is the value of x to the nearest tenth?

a)

5

b)

5.3

c)

6

d)

8

8.

Concept 33:


Determine whether a tangent line is shown. Explain.

a)

Yes; there is a tangent line because the segment of length 10 is perpendicular to the segment of length 4.5

b)

No; there is NOT a tangent line because the segment of length 10 is NOT perpendicular to the segment of length 4.5

c)

Yes; there is a tangent line because the segment of length 10 is NOT perpendicular to the segment of length 4.5

d)

No; there is NOT a tangent line because the segment of length 10 is perpendicular to the segment of length 4.5

9.

Concept 33:


The triangle circumscribes a circle. What is the perimeter of the triangle?

a)

60 ft

b)

65 ft

c)

72 ft

d)

75 ft

10.

Concept 33:


What is the value of a?

a)

34

b)

56

c)

68

d)

146

11.

Concept 33:


What is the value of b?

a)

28

b)

34

c)

56

d)

112

12.

Concept 33:


What is the value of z?

a)

77

b)

95

c)

126

d)

154

13.

Concept 36:


Which of the following is the graph of (x - 2)2 + (y + 1)2 = 9?

a)
b)
c)
d)
14.

Concept 36:


Which is the equation of a circle with center (-4, 6) and a radius r = 5?

a)

(x + 4)2 + (y - 6)2 = 10

b)

(x + 4)2 + (y - 6)2 = 25

c)

(x - 4)2 + (y + 6)2 = 10

d)

(x - 4)2 + (y + 6)2 = 25

15.

Concept 36:


A circle with center (-1, 2) passes through the point (2, -2). Which is true?

a)

The radius is √5

b)

The diameter is 10

c)

The equation is (x + 1)2 + (y - 2)2 = 10

d)

The circumference is 25π

16.

Concept 36:


Which is the equation of a circle with diameter A̅B̅ with A(5, 4) and B(-1, -4)?

a)

(x - 5)2 + (y - 4)2 = 10

b)

(x + 5)2 + (y + 4)2 = 100

c)

(x - 2)2 + y2 = 25

d)

(x + 2)2 + y2 = 5

17.

Concept 36:


Find the center of the circle (x + 3)2 + (y - 11)2 = 12.

(a)  

18.

Concept 36:


Find the radius of the circle (x + 3)2 + (y - 11)2 = 12.

(a)  

19.

Concept 36:


Write the standard equation of the circle.

(a)