wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Volume Cone, Cylinder and Frustum

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.
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
2.
How do you find the volume of a cone?
a)
V= 1/πr2h
b)
V= 4/πr2h
c)
V= 4/πr3
d)
V= πr2h
3.
How do you find the volume of a cylinder?
a)
V= 1/πr2h
b)
V= 4/πr2h
c)
V= 4/πr3
d)
V= πr2h
4.
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
5.
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
6.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
7.
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)
8.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
9.

If the radii of the circular ends of a conical bucket which is 45cm high, are 28cm and 7cm, find the capacity of the bucket.

a)

38510 cu.cm

b)

48510 cu.cm

c)

62010 cu.cm

d)

28510 cu.cm

10.

The shape of a glass (tumbler) (see Fig.) is usually in the form of

a)

Cone

b)

Frustum of a cone

c)

Cylinder

d)

Cuboid

11.

If the radii of the circular ends of a conical bucket which is 45cm high, are 28cm and 7cm, find the capacity of the bucket. Round to the nearest whole number.

a)

38510 cu.cm

b)

48466 cu.cm

c)

62010 cu.cm

d)

28510 cu.cm

12.

Find the volume of a conical frustum with a height of 24in and radii 15in and 10in respectively.

a)

35,796in3

b)

1,491.5in3

c)

11,932in3

d)

9,420in3

13.

Find the volume of the frustum with a height of 16ft, a base diameter of 12ft and upper diameter of 8ft. Round to the nearest whole number.

a)

3,818ft3

b)

1,273ft3

c)

1,216ft3

d)

76ft3

14.

Find the volume of a frustum with a height of 2yd and radii of 3yd and 5yd respectfully. Round to the nearest tenth.

a)

307.7yd3

b)

98yd3

c)

102.6yd3

d)

49yd3

15.

Find the volume of a frustum with height 18in, radius of bottom base of 11in and diameter of upper base is 30in.

a)

511in3

b)

54.24in3

c)

3,066in3

d)

9,627.24in3