Volume of Pyramids, Cones, and Sphere

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Presentation transcript:

Volume of Pyramids, Cones, and Sphere

Lesson Objective Students will use the formula for the volume of a pyramid, cone, and sphere to solve problems.

Lesson Beginning Find the volume. A cube with edges of 8ft

Volume of Pyramids Volume of a pyramid is one-third the product of the area of the base and the height of the pyramid. V= 1 3 Bh

Volume of Cones Volume of a cone is one-third the product of the area of the base and the height of the cone. V= 1 3 Bh

Volume of Spheres Volume of a sphere is the product of 𝟒 𝟑 𝝅 and the cube of the radius of the sphere. 𝑽= 𝟒 𝟑 𝝅 𝒓 𝟑

Modeling Find the volume.

Modeling Find the volume.

Modeling Find the volume.

Practice

Find the height.

Practice Find the volume.

Practice Find the volume.

Practice The volume of sunscreen in Bottle B is about how many times the volume in Bottle A? Which is the better buy?

Practice Do the two solids have the same volume? Explain.

Practice Your friend says that the volume of a sphere with radius r is four times the volume of a cone with radius r. When is this true? Justify your answer.