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Surface Areas and Volumes of Spheres

Surface Areas and Volumes of Spheres

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Surface Areas and Volumes of Spheres

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  1. Surface Areas and Volumes of Spheres 11-5

  2. Some examples of spheres…

  3. Sphere: • The set of all points in space equidistant from a given point called the center.

  4. Surface Area = 4 (area of circle) Theorem 10-10: Surface Area of a Sphere

  5. Example 1: Find the surface area and leave your answer in terms of pi. 8 m

  6. Example 2: Earth’s equator is about 24,902 mi long. Approximate the surface area of Earth by finding the surface area of a sphere with circumference 24,902 mi.

  7. Example 3:Find the surface area of a melon with circumference 19 in. Round your answer to the nearest tenth.

  8. 1. Who is this actor? Johnny Depp Trivia… 2. Who is this actress? Julia Roberts 3. What movie is this scene from? Hook

  9. Theorem 10-11: Volume of a Sphere

  10. Example 4: Find the volume of the sphere. Leave your answer in terms of pi. 6 m

  11. Example 5: The volume of a sphere is 5000 cubic meters. What is the surface area of the sphere?

  12. Example 6: A sphere of very vanilla ice cream is pressed into the cone as shown below. If the ice cream melts into the cone, would the cone over flow? Explain. 4 cm 4 cm 12 cm

  13. WS Practice 10-7 Evens Homework