Volume of a Cylinder, Cone, and Sphere

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Presentation transcript:

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

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

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

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.

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

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

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

Volume of Cylinders Class Practice 18 cm 5 cm

Volume of Cylinders Class Practice 12 cm 7 cm

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

Cone Formula

Volume of Cones Class Practice

Volume of Cones Class Practice

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

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

Sphere Formula

Volume of Spheres Class Practice

Volume of Spheres Class Practice

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