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Study Guide

Total questions: 71

Worksheet time: 3hrs 2mins

Name

Class

Date

Calculate the Volume

410 cm³

420 cm³

402 cm³

401 cm³

B represents...

Area of Base

Base

Bottom

Area of Bridge

What is the volume of this prism?

16 cubic cm

36 cubic cm

144 cubic cm

What is the volume of this prism?

24 cubic cm

240 cubic cm

60 cubic cm

What is the formula for Volume of a Cone?

V=π r³h

V=π r²h

V= $\frac{1}{3}$ π $r^2$ h

V= $\frac{4}{3}$ π $r^3$

Find the volume of the conical figure. Round to the nearest hundredth.

14.13 in³

56.55 in³

169.65 in³

113.10 in³

8.4 ft³

100.5 ft³

25 ft³

16.8 ft³

Find the volume of the figure.

150.8 cm³

48 cm³

452.4 cm³

339 cm³

1,767 ft³

7,068.5 ft³

589 ft³

2,356.2 ft³

10.

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth.

7,238.2 cm³

28,952.9 cm³

1,809.6 cm³

21,714.7 cm³

11.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

12.

A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth.

471.24

565.49

188.5

157.08

13.

An ice cream cone that is 4 inches tall has a diameter that is 8 inches across. Find the volume of the cone.

201.06 inches³

67.02 inches³

268.08 inches³

50.27 inches³

14.

What is the formula for AREA of a CIRCLE?

$A\ =\ \pi r^2$

$A\ =\ \pi d$

$A\ =\ 2\pi r$

$A\ =\ bh$

15.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

157.1 $m^3$

31.4 $m^3$

471.2 $m^3$

208.6 $m^3$

16.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

100.5 $m^3$

301.6 $m^3$

75.4 $m^3$

25.1 $m^3$

17.

Is the red line a radius or diameter of the circle?

Radius

Diameter

18.

Is the red line a radius or diameter of the circle?

Radius

Diameter

19.

What is this formula used to find?
V=πr²h

The volume of a cylinder

The volume of a cone

The volume of a sphere

The area of a circle

20.

Find the volume of the cylinder.

4239

1696

1130

565

21.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

810 cm³

2543.4 cm³

847.8 cm³

2826 cm³

22.

Find the volume of the figure. Round to the nearest tenth.

128.6 units³

1,286.1 units³

401.9 units³

5,144.6 units³

23.

Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?

12.0

24.0

75.4

18.8

24.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

16.4 cm³

31.7 cm³

31.4 cm³

22.0 cm³

25.

Find the volume of the right cylinder?

6516 units³

2276 units³

1693 units³

9923 units³

26.

^{_{Estimate the volume.}}

163in³

18in³

283in³

324in³

27.

Which cylinder will have a larger volume?

Cylinder A

Cylinder B

28.

What is the volume of this cylinder?

2002.8 mm³

20428.2 mm³

8011.1 mm³

127.5 mm³

29.

Find the volume of this cylinder.

1608.5 cm³

48 cm³

402.1 cm³

512 cm³

30.

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?

4 lines

31.

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

4 lines

32.

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

4 lines

33.

Which company shows a greater rate of change?

4 lines

34.

Which panda is growing faster?

4 lines

35.

Which panda will weigh more at 5 weeks?

4 lines

36.

Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?

4 lines

37.

Who weighed more at the beginning of the show?

4 lines

38.

Who is losing weight faster?

4 lines

39.

What is the initial value in this equation?
y=8x+6

40.

Find the rate of change

Not a constant slope/Non-Linear

41.

Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?

125

42.

Find the rate of change

Not a constant slope/Non-Linear

43.

Find the rate of change.

-2 minutes per gallon

-20 minutes per gallon

-2 gallons per minute

-20 gallons per minute

44.

Calculate the rate of change.

1/6

-6

-1/6

45.

What is the rate of change for the following graph?

160

46.

Which statement describes the rate of change of the line?

$20 each week

$30 each week

$25 each week

$70 each week

47.

Is the function Linear or Nonlinear?

Linear

Nonlinear

48.

Is the function linear or non-linear?

$y=3x$

Linear

Non-Linear

49.

Is this function linear or non-linear?

$y=3x^2$

Linear

Non-Linear

50.

Is this function linear or non-linear?

$y=x^3$

Linear

Non-Linear

51.

Is this function linear or non-linear?

$y=6x+20$

Linear

Non-Linear

52.

Is the mapping a function?

yes

can not determine

53.

Soft drinks sold from a vending machine on I-75 cost $1.75 per bottle.

Discrete

Not discrete

54.

While driving to Florida, Sophia averaged 72 m.p.h.

Discrete

Not discrete

55.

The number of suitcases lost by airlines.

Discrete

Not discrete

56.

Graph of the growth of a plant for the next 30 days.

Discrete

Not discrete

57.

The time it takes for a car battery to die.

Discrete

Not discrete

58.

The number of orange Skittles in a bag.

Discrete

Not discrete

59.

The number of miles it takes to use up a tank of gas.

Discrete

Not discrete

60.

Does the image represent a function? Or a non-function?

Function

Not a Function

61.

Function or not a function?

Function

Not a Function

62.

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

63.

Is this graph a function or not a function?

Function

Not a Function

64.

Function? Or not a function?

Function

Not a Function

65.

Function or not a function?

Function

Not a Function

66.

Is this graph a function or not a function?

Function

Not a Function

67.

REVIEW QUESTION
Is this table proportional or non-proportional?

Proportional

Non-Proportional

both

neither

68.

Carley is throwing a party. She needs 3 liters of soda for every 12 guests. If there are 48 guests attending the party, how many liters of soda will she need?

144 liters

36 liters

8 liters

12 liters

69.

Write an equation for this relationship.

y=1/5x

y=1/2x

y=2x

y=5x

70.

The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of grapes, x?

6.09

20.36

8.12

28.36

71.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

$12

$1.50

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Study Guide

Total questions: 71

Worksheet time: 3hrs 2mins

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