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Cone Cylinder Volume

Total questions: 50

Worksheet time: 3hrs 11mins

Name
Class
Date
1.
What is the correct formula to use when calculating the volume of a cone?
a)
V=(1/3)rh
b)
V=πr2
c)
V=(1/3)πr2h
d)
V=(1/3)πdh
2.
What is the correct formula to use when calculating the volume of a cylinder?
a)
V=πr2h
b)
V=πr3h
c)
V=πdh
d)
V=πd2h
3.
What is this formula used to find?
A=πr2
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
4.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone. 
b)
The cone is 1/3 the volume of the cylinder. 
c)
They have the same volume. 
d)
Their volumes are not related at all. 
5.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
6.

Find the Volume of the Cone

a)

150.8 cm³

b)

75.4 cm³

c)

452.2 cm³

d)

153 cm³

7.

A cylinder has a diameter of 12 cm and a height of 9 cm. Which measurement is closest to the volume of the cylinder?

a)

1527.3 cm3

b)

4072.2 cm3

c)

1017.9 cm3

d)

3054.5 cm3

8.

A cylinder has a radius of 12 yards and a height of 21 yards. Which measurement is closest to volume of the cylinder?

a)

9500.2 yd3

b)

3165.1 yd3

c)

4747.7 yd3

d)

12660.5 yd3

9.

A cylinder has a height of 3in and a radius of 3 inches. What is the volume?

a)

28.26 in3

b)

84.8 in3

c)

254.34 in3

d)

9.42 in3

10.

A party hat has an full opening of 6 inches wide, and a height of 9 inches. Which measurement is closest to the volume of the hat?

a)

84.8 in3

b)

339.3 in3

c)

254.5 in3

d)

10174.9 in3

11.

A styrofoam model of a volcano has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam.

a)

7238.2 cm3

b)

7984.6 cm3

c)

8934.4 cm3

d)

6034.7 cm3

12.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

a)

50.3 ft3

b)

150.7 ft3

c)

not here

d)

192.7 ft3

13.

Find the volume of the cylinder. Round to the nearest whole number.

a)

109

b)

418

c)

130

d)

1672

14.

Find the volume of the cylinder.

a)

1884.1

b)

565.8

c)

471.2

d)

1130.4

15.
Find the volume of the cylinder.
a)
151
b)
1809
c)
301
d)
603
16.

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

a)

V = (6)2(15)

b)

V = π(6)2(15)

c)

V = π(12)2(15)

d)

V = π(6)2(7.5)

17.

Find the volume of the cylinder.

a)

942.5

b)

3768.3

c)

754.2

d)

1524.1

18.
Find the volume of the cone.
a)
55.7
b)
200.96
c)
100.5
d)
33.5
19.

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

a)

V = 1/3π(4)2(9)

b)

V = 1/3π(8)2(9)

c)

V = π(4)2(9)

d)

V = π(8)2(9)

20.

Find the volume of the cone. Round to the nearest whole number.

a)

2826

b)

942

c)

11304

d)

3768

21.

Find the volume of the cone.

a)

113.0

b)

37.7

c)

12.6

d)

75.4

22.

Find the volume of the cylinder.

a)

282.7

b)

516.2

c)

133

d)

214

23.

V = ?

a)

14.1 in3

b)

56.5 in3

c)

169.6 in3

24.

V = ?

a)

1,077.0 yd3

b)

269.4 yd3

c)

153.9 yd3

25.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
26.

What is this formula used to find?

V=1/3πr2h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

27.
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?
a)
21 cubic inches
b)
63 cubic inches
c)
66 cubic inches
d)
198 cubic inches
28.

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

a)

600 in3

b)

1,885 in3

c)

3,142 in3

d)

12,566 in3

29.

Find the Volume of the Cylinder

a)

1178.1 ft3

b)

4712.6 ft3

c)

7069.3 ft3

d)

3534.9 ft3

30.
What shape is this?
a)
Cone
b)
Sphere
c)
Cube
d)
Pyramid
31.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
32.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
33.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
34.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
35.

Choir 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?

a)

V = π(9)

b)

V = π(4.5)2(32)

c)

V = π(9)2(32)

d)

V = π(4.5)(32)

36.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
37.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
38.

A cylinder shaped jar has a radius of 2 cm and a height of 6 cm. What’s the volume of the jar?

a)

301.44 cubic cm

b)

125.93 cubic cm

c)

75.4 cubic cm

d)

67.89 cubic cm

39.

Michael 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 Michael’s soup pot hold?

a)

4239 in3

b)

423.9 in3

c)

1695.5 in3

d)

1695.6 in2

40.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
41.

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

a)

58.29 cm2

b)

58.3 cm3

c)

233.15 cm2

d)

233.15 cm³

42.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
43.

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

*Hint: Find the volume and then multiply!

a)

502.7 in3

b)

167.5 in3

c)

251.2 in3

d)

83.7 in3

44.
Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?
a)
7,389 cm3
b)
6,333 cm3
c)
3,167 cm3
d)
1,847 cm3
45.
How do you find the volume of a cone?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
46.
How do you find the volume of a cylinder?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
47.
Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?
a)
377 cubic feet
b)
942 cubic feet
c)
2,958 cubic feet
d)
3,768  cubic feet
48.
This is the formula for which shape?
a)
Cylinder
b)
Cone
c)
Sphere
d)
Rectangular Pyramid
49.
Where does Santa live?
a)
North Pole
b)
South Pole
c)
The USA
d)
WHOVILLE
50.
It is white and falls from the sky in winter.
a)
SNOW
b)
RAIN
c)
WIND
d)
COTTON BALLS

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