Slide 1

Volume of Pyramids, Cones, and Sphere

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

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

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Volume of Pyramids Volume of a pyramid is one-third the product of the area of the base and the height of the pyramid.

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Volume of Cones Volume of a cone is one-third the product of the area of the base and the height of the cone.

Slide 6

Volume of Spheres

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Modeling Find the volume.

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Modeling Find the volume.

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Modeling Find the volume.

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Practice

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Find the height.

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Practice Find the volume.

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Practice Find the volume.

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

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

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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.