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Volume of a Cylinder, Cone, and Sphere

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.

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Volume of a Cylinder, Cone, and Sphere

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  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

  4. Previous Formulas Learned Area and Circumference of a Circle Circumference is the perimeter (length outside) of a circle. Area is the space inside of an object.

  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: Height of the Cylinder! Base of the Cylinder!

  7. Volume of a Cylinder • 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. 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

  12. Cone • Formula

  13. Volume of Cones Class Practice

  14. Volume of Cones Class Practice

  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

  17. Sphere • Formula

  18. Volume of Spheres Class Practice

  19. Volume of Spheres Class Practice

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

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

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