Volume of a
Cylinder, Cone, and Sphere
We are learning to…find the volume of a
cylinder, cone and sphere
Volume

Definition


The number of cubic units needed to fill
a given space
Geometric Shapes



Cylinder
Cone
Sphere
Cylinder


A three dimensional figure with two
parallel, congruent bases connected
by a curved lateral surface
http://www.youtube.com/watch?v=FLtkVS8bAUY
Previous Formulas Learned
Area and Circumference of a Circle
Formula to find the area of a circle:
A r
2
Area is the space inside of an object.
The formula to find the circumference
of the circle:
C d
Circumference is the perimeter
(length outside) of a circle.
Cylinder

Formula
V Bh
V
r h
2




B = Area of the base
h = Height
r = Radius
= Pi = 3.14159…..(irrational number
use calculator unless told otherwise)

Volume of a Cylinder

Label the BASE and HEIGHT of the cylinder below:
Base of the
Cylinder!
Height of the
Cylinder!
Volume of a Cylinder

For the Volume of a Cylinder we can write:
V = B(h)
OR
V = πr2(h)
Volume of Cylinders Class Practice
V   r 2 (h)
V   3.14   52  18 
18 cm
5 cm
V  3.14 2518
V  1, 413 cubic cm
Volume of Cylinders Class Practice
12 cm
7 cm
Homework



Pg. 387-388
All Classes
1-9
Cone


A three dimensional figure with one
vertex and one circular base
http://www.youtube.com/watch?v=G3wEgkUqc-k
Cone

Formula
1 2
V  r h
3
Volume of Cones Class Practice
Volume of Cones Class Practice
Homework



Pg. 397-398
CC: 1-11, 14
HC: 1-14
Sphere


A three dimensional figure with all
points the same distance from the
center
http://www.youtube.com/watch?v=zPd21soIZw0
Sphere

Formula
4 3
V  r
3
Volume of Spheres Class Practice
Volume of Spheres Class Practice
Relationship between Cylinder,
Cone and Sphere

http://www.youtube.com/watch?v=u7zyl9zFj0Y
Homework



Pg. 403-404
CC: 1-12, 15
HC: 1-15