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Volume of Spheres

Volume of Spheres.

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Volume of Spheres

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  1. Volume of Spheres Using the model of a collection of pyramids that are joined at their vertex, we can visualize the creation of a sphere. The junction of the vertices forms the center of the sphere. The bases of the pyramids form the surface area of the sphere. The height of the pyramid becomes the radius of the sphere.

  2. Volume of Spheres Thus, if we consider the volume of the sphere to be the sum of the volume of the pyramids, then V = (1/3)*B*h becomes V = (1/3)*(4**r2)*r = (4/3)**r3

  3. Find the volume of each sphere to the nearest tenth. a. b. Answer: Answer: Example 3-1d

  4. Answer: Example 3-2b Find the volume of the hemisphere.

  5. Example 3-3c Short-Response Test Item Compare the volumes of the hemisphere and the cylinder with the same radius and height as the radius of the hemisphere.

  6. Answer: The volume of the hemisphere is and the volume of the cylinder is Since is less than 1, the volume of the cylinder is greater than the volume of the hemisphere. The volume of the sphere is the volume of the cylinder. Example 3-3d

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