1. Volume of a Cylinder, Cone, and Sphere
We are learning to…find the volume of a cylinder, cone and sphere

2. Volume Definition Geometric Shapes
The number of cubic units needed to fill a given space
Geometric Shapes
Cylinder
Cone
Sphere

3. Cylinder
A three dimensional figure with two parallel, congruent circular bases connected by a curved lateral surface

4. Previous Formulas Learned Area and Circumference of a Circle
Formula to find the area of a circle:
The formula to find the circumference of the circle:
Area is the space inside of an object.
Circumference is the perimeter (length outside) of a circle.

5. Cylinder Formula B = Area of the base h = Height r = Radius
= Pi =3.14 unless you are told otherwise!

6. Volume of a Cylinder Label the BASE and HEIGHT of the cylinder below:
Base of the Cylinder!

7. For the Volume of a Cylinder we can write:
V = B(h) OR
V = πr2(h)

8. Volume of Cylinders Class Practice
18 cm
5 cm

9. Volume of Cylinders Class Practice
12 cm
7 cm

10. A three dimensional figure with one vertex and one circular base
Cone
A three dimensional figure with one vertex and one circular base

11. Cone
Formula

12. Volume of Cones Class Practice

13. Volume of Cones Class Practice

14. A few more problems
r = 4.5, h = 16
d = 14, h = 8
r = .9, h = 12

15. Sphere
A three dimensional figure with all points the same distance from the center

16. Sphere
Formula

17. Volume of Spheres Class Practice

18. Volume of Spheres Class Practice

19. A few more
1. r = 6
2. r = 7
3. d = 18
4. r = 3.6