1. Volume of Cylinders Remember! Volume is measured in cubic units.
Course 3
Volume of Cylinders
Volume is measured in cubic units.
Remember!

2. Course 3
Volume of Cylinders
Find the volume of the figure to the nearest tenth. Use 3.14 for .
B =  (42) = 16 in2
Area of base
4 in.
V = Bh
Volume of a cylinder
12 in.
= 16 • 12
= 192  in3

3. Volume of Cylinders Example 2:
Course 3
Volume of Cylinders
Example 2:
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
r = = = 6
V = (r2)h
Volume of a cylinder.
= (3.14)(6)2 • 4
Use 3.14 for p.
= (3.14)(36)(4)
= ≈ 452
The volume of the drum is approximately 452 in.2

4. Volume of Cylinders Example 3
Course 3
Volume of Cylinders
Example 3
A cylinder measures 3 cm tall with a radius of 2 cm. Explain whether tripling the radius or height of the cylinder would triple the amount of volume.
The original cylinder has a volume of 4 • 3 = 12 cm3.
V = 36 • 3 = 108 cm3
By tripling the radius, you would increase the volume nine times.

5. Volume of Cylinders Example 3 Continued
Course 3
Volume of Cylinders
Example 3 Continued
The original cylinder has a volume of 4 • 3 = 12 cm3.
V = 4 • 9 = 36 cm3
Tripling the height would triple the volume.

6. Course 3
Volume of Cylinders
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.

7. Volume of Cylinders Lesson Quiz
Course 3
Volume of Cylinders
Lesson Quiz
Find the volume of each figure to the nearest tenth. Use 3.14 for .
10 in. 1.
12 in.
942 in3
2. Explain whether doubling the radius of the cylinder above will double the volume.
No; the volume would be quadrupled because you have to use the square of the radius to find the volume.