MSM07G6_RESBK_Ch10_061-068.pe
2/7/06
8:42 PM
Page 64
Name
LESSON
Date
Class
Reteach
10-8 Volume of Cylinders
You can use what you know about area to help you find the volume
of a cylinder.
3
5
To find the volume of a cylinder, first find the area of the circular
base.
A ! !r 2
! 3.14 • 32
! 3.14 • 9
! 28.26 square units
Use 3.14 for !.
The area of the circular base is about 28.26 square units.
Next, multiply your answer by the height of the cylinder. The height
of the cylinder is 5 units, so multiply 28.26 by 5.
28.26 • 5 ! 141.3
So, the volume of the cylinder is about 141.3 cubic units.
Find the volume of each cylinder.
1.
2.
1
4
3
2
9.42 cubic units
3.
100.48 cubic units
4.
3 cm
10 ft
6 cm
169.56 cubic units
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
6 ft
1,130.4 cubic units
64
Holt Mathematics
MSM07G6_RESBK_Ch10_077-095.pe
2/8/06
10:52 AM
Page 92
Reteach
LESSON
10-8 Volume of Cylinders
Practice C
LESSON
10-8 Volume of Cylinders
Find the volume V of each cylinder to the nearest cubic unit.
1.
2.
1
1_
2 in.
1
12 _
4 in.
11 ft
V ! 87 in3
V ! 399 ft3
4.
19.4 cm
6.
To find the volume of a cylinder, first find the area of the circular
base.
0.8 m
1
A ! !r 2
" 3.14 • 32
" 3.14 • 9
" 28.26 square units
70.05 m
1
17 _
3 yd
V ! 114 m3
5
V ! 25,850 cm3
5_
4 yd
7.58 m
3
20.6 cm
5.
2.19 m
You can use what you know about area to help you find the volume
of a cylinder.
3.
2
3_
5 ft
V ! 1,500 yd3
The area of the circular base is about 28.26 square units.
V ! 141 m3
Next, multiply your answer by the height of the cylinder. The height
of the cylinder is 5 units, so multiply 28.26 by 5.
Find the volume of each cylinder using the information given.
28.26 • 5 ! 141.3
1
7. d ! 39.2 cm; h ! 48.5 cm
8. r ! 8!2! in.; h ! 25 in.
58,504 cm3
Use 3.14 for !.
So, the volume of the cylinder is about 141.3 cubic units.
5,672 in3
9. r ! 15 m; h ! 68 m
Find the volume of each cylinder.
10. d ! 12 ft; h ! 11.7 ft
48,042 m3
1.
2.
1
1,323 ft3
11. The base of a cylinder has a circumference of 25.12 inches. The
height of the cylinder is 10 inches. What is the volume of the
cylinder?
2
9.42 cubic units
502.4 in3
3.
12. The height of a cylinder is 3 times greater than the diameter of
its base. The area of the base is 78.5 cm2. What is the volume
of the cylinder? Use 3.14 for !.
100.48 cubic units
4.
3 cm
10 ft
169.56 cubic units
63
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
1,130.4 cubic units
64
Write the correct answer.
Trees are among Earth’s largest and oldest living things. The
National Register of Big Trees measures trees throughout the
United States to find the largest of each species—the champions.
The four huge trees described below are the only champions that
have been listed in the register since the program began in 1940.
1. The Hubble Space Telescope was
launched into space in 1990. Shaped
like a cylinder, the telescope is
15.9 meters long, with a diameter of
4.2 meters. To the nearest whole
cubic foot, what is the volume of the
Hubble Space Telescope?
Use the register’s data to find the circumference and volume of
each champion American tree trunk to the nearest foot and
cubic foot.
2. The Living Color aquarium in
Bermuda is the largest freestanding
cylindrical aquarium in the Western
Hemisphere. With a 10-foot diameter
and an 18-foot height, the aquarium
holds 10,400 gallons of water! What
is the aquarium’s volume in cubic
feet?
about 220 ft3
“General Sherman”
Giant Sequoia, California
85 ft
Circumference:
Volume:
21 ft
h ! 96 ft
r ! 5.1 ft
“Bennett Juniper”
Western Juniper, California
Circumference:
Volume:
“Wye Oak”
White Oak, Maryland
40 ft
Circumference:
11,061 ft3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Volume:
65
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
100.48 ft3
Circle the letter of the correct answer.
1,368 ft3
h ! 86 ft
r ! 6.4 ft
4. The world’s largest glass of orange
juice was filled in Florida in 1998. At
8 feet tall and with a 2-foot radius,
the glass held about 700 gallons of
orange juice. What was the volume
of that huge glass of orange juice?
15.7 ft3
“Jardine Juniper”
Rocky Mountain Juniper, Utah
151,582 ft3
1,413 ft3
3. In 1902 an American music company
built the world’s largest music
recording cylinder. Nicknamed
“Brutus,” the cylinder is 5 feet tall,
with a 2-foot diameter. What is the
volume of the “Brutus” cylinder?
h ! 40 ft
r ! 3.3 ft
h ! 261 ft
r ! 13.6 ft
Volume:
Holt Mathematics
Problem Solving
LESSON
10-8 Volume of Cylinders
Challenge
LESSON
10-8 Champion Trees
Circumference:
6 ft
6 cm
2,355 in3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
4
3
32 ft
7,840 ft3
Holt Mathematics
5. A large can of soda is 7.5 inches tall
and has a 3-inch diameter. A small
can of soda is 5 inches tall with a
2.5-inch diameter. To the nearest
cubic inch, how much more soda
does the large can hold?
A 53 in3 more soda
B 28 in3 more soda
!
C 25 in3 more soda
D 20 in3 more soda
6. A cylindrical candle is tightly packed
in a rectangular box with a volume of
144 in3. Which of these could be the
dimensions of the candle?
F h ! 6 in.; r ! 3 in.
G h ! 2 in.; r ! 5 in.
H h ! 4 in.; r ! 3 in.
!
J h ! 3 in.; r ! 4 in.
7. The maximum length for an official
professional baseball bat is 36 inches.
Its maximum diameter is 2.6 inches.
To the nearest cubic inch, what is the
maximum volume of a professional
baseball bat?
A 21 in3
C 191 in3
!
B 119 in3
D 764 in3
8. A can of tennis balls is 21 centimeters
tall and has a diameter of 8
centimeters. What is the volume of
the tennis ball can?
F 17,408.16 cm3 H 527.52 cm3
J 263.76 cm3
G 1,055.04 cm3
!
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
92
66
Holt Mathematics
Holt Mathematics