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11.6 Surface Area and Volumes of Spheres

11.6 Surface Area and Volumes of Spheres. A sphere is a set of all points in space equidistant from a given point called the center . A radius is a segment that has one endpoint at the center and the other endpoint on the sphere.

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11.6 Surface Area and Volumes of Spheres

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  1. 11.6 Surface Area and Volumes of Spheres • A sphere is a set of all points in space equidistant from a given point called the center. • A radius is a segment that has one endpoint at the center and the other endpoint on the sphere. • A diameter is a segment passing through the center with endpoints on the sphere.

  2. 11.6 Surface Area and Volumes of Spheres • When a plane and a sphere intersect in more than one point, the intersection is a circle. If the center of the circle is also the center of the sphere, it is called a great circle. • The circumference of a great circle is the circumference of the sphere. • A great circle divides a sphere into two hemispheres.

  3. Theorem 11.10 Surface Area of a Sphere • The surface area of a sphere is four times the product of pi and the square of the radius of the sphere.

  4. Finding the Surface Area of a Sphere • What is the surface area of the sphere in terms of pi?

  5. Theorem 11.11 Volume of a Sphere • The volume of a sphere is four thirds the product of pi and the cube of the radius of the sphere.

  6. Finding the Volume of a Sphere • What is the volume of the sphere in terms of pi?

  7. More Practice!!!!! • Homework – Textbook p. 737 #6 – 22 even.

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