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

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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

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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.

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Cylinder Formula B = Area of the base h = Height r = Radius = Pi = 3.14159…..(irrational number use calculator unless told otherwise)

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

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

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Volume of Cylinders Class Practice 5 cm 18 cm

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Volume of Cylinders Class Practice 7 cm 12 cm

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Homework Pg. 387-388 All Classes 1-9

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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

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Cone Formula

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Volume of Cones Class Practice

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

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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

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Sphere Formula

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Volume of Spheres Class Practice

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

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

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Bell Ringer Find the surface area of each figure. SA = 2lw + 2lh + 2wh SA = 2(4*2) + 2(4*3) + 2(2*3) SA = 16 + 24 + 12 SA = 52 units² SA = Area of Base.

Bell Ringer Find the surface area of each figure. SA = 2lw + 2lh + 2wh SA = 2(4*2) + 2(4*3) + 2(2*3) SA = 16 + 24 + 12 SA = 52 units² SA = Area of Base.

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