9.4 Volume of Prisms and Cylinders

502 Chapter 9 Surface Area and Volume
VOLUME OF A CYLINDER
Words Volume (area of base)(height)
Symbols V Bh
πr 2 h
EXAMPLE 3 Compare Volumes of Cylinders
a. How do the radius and height of
the mug compare to the radius
and height of the dog bowl?
b. How many times greater is the
volume of the bowl than the
volume of the mug?
Solution
a. The radius of the mug is 2 inches and the radius of the dog bowl is
6 inches. The radius of the bowl is three times the radius of the mug.
The height of the mug is the same as the height of the bowl.
b. Volume of mug
V πr 2 h Write the formula for volume.
π(2 2 )(4) Substitute for r and for h.
16π Simplify.
To compare the volume of the bowl to the volume of the mug, divide
the volume of the bowl by the volume of the mug.
Volume
of
bowl
Volume
of
mug
144π
9
16π
ANSWER The volume of the bowl is nine times the volume of the
mug.
Find Volume of Cylinders
Find the volume of the cylinder. Round your answer to the nearest
whole number.
4. 2 ft 5. 1 in.
6. 4 m
3 ft
5 in.
4 in.
2 in.
4 in.
B
r
10 m
h
6 in.
Volume of dog bowl
V πr 2 h
π(6 2 )(4)
144π