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

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Presentation on theme: "Volume of a Cylinder, Cone, and Sphere We are learning to…find the volume of a cylinder, cone and sphere."— Presentation transcript:

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

2 Volume  Definition 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 bases connected by a curved lateral surface  http://www.youtube.com/watch?v=FLtkVS8bAUY http://www.youtube.com/watch?v=FLtkVS8bAUY

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 = 3.14159…..(irrational number use calculator unless told otherwise)

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

7 Volume of a Cylinder  For the Volume of a Cylinder we can write: V = B(h) OR V = π r 2 (h)

8 Volume of Cylinders Class Practice 5 cm 18 cm

9 Volume of Cylinders Class Practice 7 cm 12 cm

10 Homework  Pg. 387-388  All Classes  1-9

11 Cone  A three dimensional figure with one vertex and one circular base  http://www.youtube.com/watch?v=G3wEgkUqc-k http://www.youtube.com/watch?v=G3wEgkUqc-k

12 Cone  Formula

13 Volume of Cones Class Practice

14

15 Homework  Pg. 397-398  CC: 1-11, 14  HC: 1-14

16 Sphere  A three dimensional figure with all points the same distance from the center  http://www.youtube.com/watch?v=zPd21soIZw0 http://www.youtube.com/watch?v=zPd21soIZw0

17 Sphere  Formula

18 Volume of Spheres Class Practice

19

20 Relationship between Cylinder, Cone and Sphere  http://www.youtube.com/watch?v=u7zyl9zFj0Y http://www.youtube.com/watch?v=u7zyl9zFj0Y

21 Homework  Pg. 403-404  CC: 1-12, 15  HC: 1-15


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