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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 • Volume of a Cylinder

  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 V= π(7²)(12) V= (3.14)(49)(12) 12 cm V= 1846.32 cm³ 7 cm

  10. Homework • Practice handout on cylinders

  11. Cone • A cone is a 3-dimensional  geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.

  12. Cone • Formula

  13. Volume of Cones Class Practice

  14. Volume of Cones Class Practice

  15. Homework • Practice handout on cones

  16. Sphere • A three dimensional figure with all points the same distance from the center • Volume of a Sphere

  17. Sphere • Formula

  18. Volume of Spheres Class Practice

  19. Volume of Spheres Class Practice

  20. Relationship between Cylinder, Cone and Sphere

  21. Relationship between Cylinder, Cone and Sphere cont’d

  22. Relationship between Cylinder, Cone and Sphere cont’d

  23. Homework • Practice handout on Spheres

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