11.4 Vol of prisms + cylinders.notebook
April 03, 2017
4/3/17 - Warm Up Problem
The circumference of a Lindor truffle is 9 cm.
What is its delicious volume?
The surface area of a soccer ball is
2
about 1520.5 cm . What is its
approximate radius?
11.4 Vol of prisms + cylinders.notebook
April 03, 2017
Section 11.4 - Volume of Prisms and Cylinders
Goals: calculate the volume of prisms, cylinders, and composite figures
Types of Prisms
Right Prism
h
In a right prism,the
height isone of the
lateral edges.
Oblique Prism
h
In an oblique prism,the
height is thealtitude
between the bases
11.4 Vol of prisms + cylinders.notebook
April 03, 2017
Volume of Right and Oblique Prisms
The two stacks of paper have the same number of sheets,
do they have the same volume?
Right Prism
Oblique Prism
These stacks of paper illustrate the following principle.
Theorem 11-5
11.4 Vol of prisms + cylinders.notebook
April 03, 2017
Volume of a Prism
V = Bh
B = Base Area
h = height
If any side of the prism is not shaped like a rectangle - it is a base.
11.4 Vol of prisms + cylinders.notebook
April 03, 2017
Try it on your own...
Find the volume of each prism.
V = Bh
cm
in
in
in
B = .5(7)(8) = 28
V = 28(10) =280 in3
cm
cm
B = 3(4) = 12
3
V = 12(12) 144
= cm
11.4 Vol of prisms + cylinders.notebook
April 03, 2017
The formula for the volume of a cylinder comes from the formula
for the volume of a prism.
V = Bh
h
Volume of a Cylinder
2
V = πr h
r
11.4 Vol of prisms + cylinders.notebook
April 03, 2017
Find the volume of the cylinder.
2
V = πr h
4181.5 m
3
11.4 Vol of prisms + cylinders.notebook
April 03, 2017
The New England Aquarium in Boston has one of the world's largest tanks. The Great Ocean Tank is shaped like a cylinder and contains a replica of a Caribbean coral reef. How much water does it contain?
19.2 ft
23 ft
If 1 ft3 = 7.5 gallons, how many gallons of water does it hold?
V = π(19.22)(23)
V = 26,637 ft3
26,637(7.5) = 199,775 gallons
11.4 Vol of prisms + cylinders.notebook
Assignment:
pg. 721
(6-16)
(23-25)
April 03, 2017
Prism: V = Bh
2
Cylinder: V = πr h