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 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 = 3.14159…..(irrational number use calculator unless 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 = πr2(h)

Volume of Cylinders Class Practice 18 cm 5 cm

Volume of Cylinders Class Practice 12 cm 7 cm

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

Cone Formula

Volume of Cones Class Practice

Volume of Cones Class Practice 340 km

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

Sphere Formula

Volume of Spheres Class Practice 21 feet

Volume of Spheres Class Practice 52 in

Homework Practice Worksheets