What is the Formula for the Volume of a Cylinder?

r, the radius of the circle is 4 inches
π is pi, which is about 3.14
The two bases of the cylinder are also circles with r=4 inches
Filling the volume of the cylinder with 16 disks each 1 in thick gives us a height of 16 in
V, the volume, is area of the base (B) times height (h), For cylinders, B=the area of a circle
(3.14)4²=(3.14)16
Area is in inches², or in²
Volume is in inches³, or in³

1. 2-D means two dimensional
2. 3-D means three dimensional
3. The bases of the cylinder are circles of the same size that exist in parallel planes
4. Parallel planes means that if you extend the surfaces out forever, they will never intersect, similar to parallel lines
5. Congruent means the circles are the exact same size and shape
6. Each circular base in the figure has a radius of 4 inches
7. The height of the cylinder is 16 inches
1. A, the area of a circle, is π times the r, the radius, squared
2. π is pi, which is about 3.14
3. V=Bh is the formula for volume
4. B is the area of a base and h is the height of the cylinder
5. For cylinders the bases are always circles, so B will always be πr²
6. r=4 inches and h=16 inches
7. (3.14)4²=(3.14)16=50.24
8. in² stands for inches squared
9. in³ stands for inches cubed
1. V stands for volume
2. Since the bases of cylinders are always circles, B will always be πr² for a cylinder

What is the formula for the volume of a cylinder?