Volume of Cylinders

1
Volume of Cylinders
Lesson Presentation
Course 3
2
Learn to find the volume of cylinders.
3
Insert Lesson Title Here
Vocabulary
cylinder
4
A cylinder is a three-dimensional figure that has
two congruent circular bases.
5
Cylinder
Height
Base
6
VOLUME OF PRISMS AND CYLINDERS
Words Numbers Formula
Cylinder The volume of a cylinder is the area of the base B times the height h.

V Bh
B ? (22)
(?r2)h
4? units2
V (4?)(6) 24?
? 75.4 units3
7
(No Transcript)
8
Additional Example 1B Finding the Volume of
Prisms and Cylinders
Find the volume of the figure to the nearest
tenth. Use 3.14 for ?.
B ? (42) 16? in2
Area of base
4 in.
Volume of a cylinder
V Bh
12 in.
16? 12
192? ? 602.9 in3
9
Check It Out Example 1B
Find the volume of the figure to the nearest
tenth. Use 3.14 for ?.
B ? (82)
Area of base
8 cm
64? cm2
Volume of a cylinder
V Bh
15 cm
(64?)(15) 960?
? 3,014.4 cm3
10
Additional Example 3 Music Application
A drum company advertises a snare drum that is 4
inches high and 12 inches in diameter. Estimate
the volume of the drum.
d 12, h 4
d 2
12 2
r 6
Volume of a cylinder.
V (?r2)h
(3.14)(6)2 4
Use 3.14 for p.
(3.14)(36)(4)
452.16 452
The volume of the drum is approximately 452 in.2
11
Check It Out Example 3
A drum company advertises a bass drum that is 12
inches high and 28 inches in diameter. Estimate
the volume of the drum.
d 28, h 12
d 2
28 2
r 14
Volume of a cylinder.
V (?r2)h
(3.14)(14)2 12
Use 3.14 for ?.
(3.14)(196)(12)
7385.28 7,385
The volume of the drum is approximately 7,385 in.2
12
Additional Example 2B Exploring the Effects of
Changing Dimensions
A juice can has a radius of 2 in. and a height of
5 in. Explain whether tripling the height of the
can would have the same effect on the volume as
tripling the radius.
By tripling the height, you would triple the
volume. By tripling the radius, you would
increase the volume to nine times the original.
13
Insert Lesson Title Here
Lesson Practice
Find the volume of each figure to the nearest
tenth. Use 3.14 for ?.
10 in.
1.
12 in.
942 in3