Volume of a Cylinder
The volume of a cylinder is the number of unit cubes, or cubic units, needed to fill the cylinder.
If each layer is one unit high, then the height h represents the number of layers.
The formula for the volume of a cylinder is the area of the base times the height.
The volume of a cylinder is represented by πr ^{2} h.
Example Finding Volumes of Cylinders
What is the volume of each cylinder in terms of π?
a.
b.
c.
Solution
a. table with 3 rows and 2 columns , row1 column 1 , v , column 2 equals pi , r squared , h , row2 column 1 , , column 2 equals pi . open 4 close squared . open 6 close , row3 column 1 , , column 2 equals 96 pi , end table
The volume of the cylinder is 96π cm^{3}.
b. table with 3 rows and 2 columns , row1 column 1 , v , column 2 equals pi , r squared , h , row2 column 1 , , column 2 equals pi . open 5 close squared . open 5 close , row3 column 1 , , column 2 equals 125 pi , end table
The volume of the cylinder is 125π cm^{3}.
c. table with 3 rows and 2 columns , row1 column 1 , v , column 2 equals pi , r squared , h , row2 column 1 , , column 2 equals pi . open 6 close squared . open 4 close , row3 column 1 , , column 2 equals 144 pi , end table
The volume of the cylinder is 144π cm^{3}.