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Volume of Cylinders Cones & Spheres

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.
What is volume?
a)
The amount of space of a 2-D object
b)
The amount of space in a 3-D object
c)
Water
d)
Area
2.

Solve for the approximate Volume of the cylinder if the height is 10 cm and radius 3 cm?

a)

250 cm3

b)

200 cm3

c)

283 cm3

d)

180 cm3

3.
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)
3,140 in3
d)
12,566 in3
4.

A table tennis (ping-pong) ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters? Use the   π\pi   button.

a)

1,676 mm3

b)

18,850 mm3

c)

33,510.3 mm3

d)

268,083 mm3

5.
Volume is the number of cubic units needed to fill the space occupied by a solid.
a)
True
b)
False
6.

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

Use  π\pi   \approx   3.14.

a)

301.44 cm3

b)

125.93 cm3

c)

75.36 cm3

d)

67.89 cm3

7.

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 in3

b)

63 in3

c)

66 in3

d)

198 in3

8.

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.

a)

261,000 ft3

b)

2,351,000 ft3

c)

18,810,000 ft3

d)

41,210,000 ft3

9.
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)
1695.6 in3
d)
 1695.6 in2
10.
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.
a)
502.4 in3
b)
167.5 in3
c)
251.2 in3
d)
83.7 in3
11.

You have a globe that has a radius of 11 inches. Find the volume of your globe. Use the π\pi  button,

a)

523 in3

b)

16,717 in3

c)

5,575 in3

d)

7,235 in3

12.

Which cylinder will have a larger volume? Solve for each volume and compare.

a)

Cylinder A

b)

Cylinder B

13.
Which figure has a volume of 45π ft3?
a)
Cylinder with a height of 5ft and diameter of 6 ft
b)
Sphere with a radius of 3 ft
c)
Cone with a radius of 3 feet and height of 5 ft
d)
Sphere with a diameter of 5 feet
14.

Solve for the volume of the Sphere. Use the  π\pi    button.

a)

78.5 m3

b)

392.5 m3

c)

523.6 m3

d)

62.8 cm3

15.

Find the volume of the sphere.

a)

972π units3

b)

729π units3

c)

108π units3

d)

2,916π units3

16.

Solve for the volume to the nearest hundredth using 3.14 instead of   π\pi  .

a)

418.00 cm3

b)

139.33 cm3

c)

130.62 cm3

d)

1671.98 cm3

17.
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
18.

This trough is filled with water. If 1 cubic foot holds 7.5 gallons, how much water will fill the trough? Use the  π\pi  button.

a)

21.5 gallons

b)

112.5 gallons

c)

133 gallons

d)

150 gallons

19.
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
20.

Kayla has two spherical gazing balls in her yard.

(see picture). Which statement about their volumes is true?

a)

The volume of Ball 2 is twice the volume of Ball 1.

b)

The volume of Ball 1 is 8 times the volume of Ball 2.

c)

The volume of Ball 1 is twice the volume of Ball 2.

d)

The volume of Ball 2 is 8 times the volume of Ball 1.

21.
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
22.

Find the volume to the nearest hundredth using 3.14 instead of  π\pi  .

a)

12.56 ft3

b)

37.68 ft3

c)

18.84 ft3

d)

6.28 ft3

23.

Find the volume of a HEMIsphere with a radius of 4 units.  A hemisphere is half of a sphere. Leave in terms of  π\pi .

a)

85.3π cubic units

b)

62.67π cubic units

c)

42.67π cubic units

d)

8π cubic units

24.

Calculate the amount of ice cream this cone can hold

(just to the top of the cone) . Round to the nearest hundredth.

a)

174.86 cm3

b)

58.29 cm3

c)

233.15 cm2

d)

699.44 cm³

25.

How do you spell  π\pi  ?

a)

pie

b)

pye

c)

pii

d)

pi