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Volume

Total questions: 96

Worksheet time: 9hrs 42mins

Name

Class

Date

What is the question?

About how many gallons of water does the tank contain?

What is the volume of the cylindrical tank?

What is the diameter?

What is the height?

What are the key details from the problem?

Diameter of 8 feet

Height of 15 feet

1 ft3 = 7.5 gallons

All of the above

What shape are we working with?

Rectangular Prism

Cone

Cylinder

None of the above

What is the volume of the cylindrical tank?

376.8 ft3

3014.4 ft3

753.6 ft3

5652 gallons

About how many gallons of water does the tank contain?

5652 gallons

22608 gallons

2826 gallons

None of the above

Find the volume of this shape

1520.53

276.46

552.93

6082.12

Find the volume of a cylinder with diameter of 10ft and height of 18.5ft

1452.98ft³

5811.94ft³

185ft³

581.19ft³

Nicholas has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Nicholas’s soup pot hold?

5596.07 in³

593.76 in³

1781.283 in³

94.5 in³

BeJohn is drinking soda from a can that has a radius of 5 in and a height of 43 in. He has already drank 1/4 of the soda, how much soda is still remaining in the can? Leave the answer in terms of π.

1075π

268.75π

430π

806.25π

10.

Sara and Alanna each drew a cylinder. Sara drew cylinder A. Alanna drew cylinder B. Which cylinder will have a greater volume?

Cylinder A

Cylinder B

11.

Which has a greater volume?
Cylinder A: r = 3 m, h = 1.2 m Cylinder B: d = 4 m, h = 2.5 m

Cylinder A

Cylinder B

They both have the same volume

Not enough information

12.

Nicholas has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. Exactly how much soup can Nicholas’s soup pot hold?

$540\pi\ in^3$

$180\pi\ in^3$

$2160\pi\ in^3$

$135\pi\ in^3$

13.

Find the volume of this shape. Use the pi key.

6082.12 cm³

276.46 cm³

552.93 cm³

1520.53 cm³

14.

Find the volume of a cylinder with diameter of 10ft and height of 18.5ft. Use the pi key.

1452.98ft³

5811.94ft³

185ft³

581.19ft³

15.

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

Radius

Diameter

16.

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

Radius

Diameter

17.

What is the formula for volume of a CYLINDER?

V = π r²

V = π r² h

V = ⅓ π r² h

V = ⅓ L W H

18.

Find the exact volume of the cylinder.

$11.25\pi\ in^3$

$22.5\pi\ in^3$

$60\pi\ in^3$

$90\pi\ in^3$

19.

Oscar is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

V = π(9)

V = π(4.5)²(32)

V = π(9)²(32)

V = π(4.5)(32)

20.

A cylinder has a volume of 502.4cm³ and has a radius of 4cm. What is the height of the cylinder? Use 3.14 for pi.

10cm³

10cm

5cm²

5cm

21.

Which label would NOT be appropriate for volume.

square miles

inches³

cm³

cubic feet

22.

What shape is the base of a cylinder?

Rectangle

Circle

Square

23.

If a circle has a diameter of 12, what is the radius?

24.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.

radius = 4 in

height = 14 in

234.6 in³

175.8 in³

23.5 in³

17.6 in³

25.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 3 mm
height = 9 mm

254.3 mm³

84.8 mm³

25.4 mm³

8.5 mm³

26.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 9 mm
height = 35 mm

296.7 mm³

8901.9 mm³

2967.3 mm³

890.2 mm³

27.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 6 in
height = 15 in

1695.6 in³

169.6 in³

56.5 in³

565.2 in³

28.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 12 ft
height = 8 ft

1205.8 ft³

3617.3 ft³

361.7 ft³

120.6 ft³

29.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 10 in
height = 25 in

7850 in³

2616.7 in³

785 in³

261.7 in³

30.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
diameter = 12 cm
height = 8 cm

3617.3 cm³

361.7 cm³

301.4 cm³

30.1 cm³

31.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
diameter = 14 ft
height = 18 ft

92.3 ft³

3692.6 ft³

369.3 ft³

923.2 ft³

32.

Use 3.14 for Pi

602.9

60.3

1808.6

180.9

33.

Use 3.14 for Pi

3617.3 cm³

1205.8 cm³

361.7 cm³

120.6 cm³

34.

What is the formula for Volume of a Cone?

V=π r³h

V=π r²h

V=(1/3)π r²h

V=(4/3)π r³

35.

Mr. Quintero 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 Mr. Quintero's cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

36.

What shape is this?

Cone

Sphere

Cube

Pyramid

37.

Find the Volume of the Cone

150.72 cm³

75.36 cm³

452.16 cm³

151 cm³

38.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

12.56 ft³

37.68 ft³

18.84 ft³

6.28 ft³

39.

602.9

60.3

1808.6

180.9

40.

What is the formula for Volume of a Cone?

V=π r³h

V=π r²h

V=(1/3)π r²h

V=(4/3)π r³

41.

Mr. Quintero 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 Mr. Quintero's cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

42.

find the volume. Round to the nearest hundredth.

1526.82mi

1326cm³

6104.16mi³

1026.04mi³

43.

3 in

15 in

6 in

9 in

44.

42.4 in³

169.6 in³

56.5 in³

14.13 in³

45.

400

1200

3600

324

46.

If an ice cream cone has a height of 6 inches and a radius of 5 inches. What is the volume?

856 meters

157 inches

258 meters

All of the above

47.

Find the volume of a cone with radius 6.49 mm and height 7.18 mm.

316.54 mm cubed

949.61 mm cubed

1144.46 mm cubed

526.25 mm cubed

48.

Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

58.29 cm²

58.29 cm³

233.15 cm²

233.15 cm³

49.

Pictured is the formula for the volume of a ____________.

sphere

cone

cylinder

pyramid

50.

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

561.5 in³

267.9 in³

201 in³

803.8 in³

51.

What shape is this?

Cylinder

Cone

Sphere

Pyramid

52.

You have a globe that has a radius of 11 inches. Find the volume of your globe. Use 3.14 for pi.

572 in³

16,717 in³

5,572.45 in³

7,235.15 in³

53.

If a tennis ball has a diameter of 2.5 in, What is the volume of the tennis ball? Use 3.14 for pi.

5.8 in³

3.62 in³

8.18 in³

25.1 in³

54.

Jamal wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.

345.3 in³

33.5 in³

25.1 in³

50.2 in³

55.

What is the volume of a sphere with the radius of 4 inches? Use 3.14 for pi.

561.5 in³

267.9 in³

201 in³

803.8 in³

56.

Natalia wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.

83.6 cm³

2144.7 cm³

254 cm³

2220 cm³

57.

A sphere has the radius of 5 meters. Find the volume. Use 3.14 for pi.

523.3 m³

104.7 m³

130.8 m³

1570 m³

58.

Find the volume to the nearest hundredth. Use 3.14 for pi.

5572.45 cm³

506.59 cm³

126.65 cm³

1393.11 cm³

59.

What is the formula for a sphere.

$V\ =\ \pi r^2h$

$V=\ \frac{1}{3}\pi r^2$

$V\ =\ \frac{4}{3}\pi r^3$

$V\ =\ \pi r^2$

60.

Find the volume of the sphere. Use 3.14 for $\pi$ . Round to nearest tenth.

78.5 $m^3$

392.5 $m^3$

523.3 $m^3$

62.8 $m^3$

61.

Find the volume of the sphere. Use 3.14 for Pi.

Round to the nearest tenth.

5572.5 cm³

506.6 cm³

126.7 cm³

1393.1 cm³

62.

Find the volume of the sphere. Use 3.14 for Pi.
Round to the nearest tenth.

608.8 $m^3$

1808.6 $m^3$

57876.5 $m^3$

7234.6 $m^3$

63.

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

Round to the nearest tenth.

561.5 in³

267.9 in³

201 in³

803.8 in³

64.

Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.

Roound to nearest tenth.

83.6 cm³

2144.7 cm³

254 cm³

2220 cm³

65.

Find the volume of the sphere. Use 3.14 for Pi.

Round to the nearest tenth.

179.5 cm³

205.2 cm³

51.3 cm³

1436.0 cm³

66.

Find the volume of the sphere to the nearest tenth.

Use 3.14 for Pi.

337.3 ft³

137.2 ft³

274.4 ft³

205.8 ft³

67.

Find the volume of the sphere with a diameter of 20 cm. Use 3.14 for Pi. Round to the nearest tenth.

4,186.7 $cm^3$

1,333.3 $cm^3$

2,364.3 $cm^3$

5,000.3 $cm^3$

68.

If a tennis ball has a diameter of 14 mm, What is the volume of the tennis ball? Use 3.14 for Pi.

Round to the nearest tenth.

345.9 mm³

523.7 mm³

1436.0 mm³

205.1 mm³

69.

Find the volume of the hemisphere. Use 3.14 for Pi.

Round to the nearest tenth,.

(HINT: Hemishere is half a sphere)

904.3 in³

226.1in³

113.0 in³

452.2 in³

70.

Find the volume of the composite solid. Use 3.14 for Pi.

Round to nearest WHOLE number.

about 19 ft³

about 24 ft³

about 29 ft³

about 34 ft³

71.

Find the slope

-5/3

-3/5

5/3

3/5

72.

Find the slope:

3/4

4/3

-3/4

-4/3

73.

The slopes of parallel lines are...

the same

opposite

always different

74.

What is the slope in the equation y=2x + 3?

Cannot be Determined

75.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

Parallel

Perpendicular

Neither

76.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

Parallel

Perpendicular

Neither

77.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

y=12x-10

y=10x+12

y=12x+10

x=10x-12

78.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

y=-3

y=3x

y=-3x

x=-3

79.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

y-8=5(x-3)

y=5x+8

y-3=5(x-8)

y-y₁₌ m(x-x₁₎

80.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

y-10 = -2(x+7)

y-10 = -2(x-7)

y+10 = -2(x+10)

y -10 = -2x+2

81.

What is the unit rate/constant of proportionality?

80 miles in 1 hours

20 miles in 1 hours

40 miles in 1 hours

160 miles in 1 hours

82.

Which statement matches the graph?

Taylor can write 6 words per minute

Taylor can write 25 words per minute

Taylor can write 50 words per minute

Taylor can write 150 words per minute

83.

Which statement best describes the relationship between x and y in the table?

Proportional

Not Proportional

84.

Samantha drives at a rate of 30 mph. Tracy drives at a rate of 60 miles every 2 hours. Who drives faster?

Samantha

Tracy

They drive the same speed per hour

85.

What is the unit rate in this proportional relationship?

60 miles/1 hour

120 miles/ 2 hours

1 mile/ 1 hour

86.

How much money does Miguel save per month?

15 dollars per month

30 dollars per month

He does not save any money.

87.

Find the constant of proportionality on this table of values.

k=3

k=1

k=0

k=4

88.

What best describes the data on this graph?

This graph is linear and not proportional.

This graph is proportional.

This graph is non-linear.

89.

Evan bought 5 pounds of bananas for $10. Christy bought 6 pounds of bananas for $9. Who has the better deal?

Christy

Evan

90.

What is the unit rate if the rate is 30 laps for 10 minutes.

3 laps per minute

10 laps per minute

15 laps per minute

10 laps per two minute

91.

What makes a graph proportional?

Straight Line

The line goes through (0,0)

Curvy line

Straight line and passes through (0,0)

92.

In the equation y = 14x, what is the constant of proportionality?

y=14

93.

What is the constant of proportionality (in miles per hour) based on the table?

135

94.

The constant of proportionality is 9/1. Interpret what that means in the context of this story.

$9 per hour

$9 for 3 hours

9 hours per $1

95.

What is the equation y=kx for the table?

y=1/3x

y=3x

y=5x

y=1/5x

96.

Which equation matches the graph?

y = 7x

y = 42x

y = 6x

y = 2x

Reset

Volume

Total questions: 96

Worksheet time: 9hrs 42mins

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