12.6 – Surface Area and Volume of Spheres. Sphere: The set of all points in space equidistant from a given point.

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12.6 Surface Area & Volume of Spheres

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Presentation transcript:

12.6 – Surface Area and Volume of Spheres

Sphere: The set of all points in space equidistant from a given point

Radius:Length from the center of the sphere to all the sides of the sphere

Hemisphere:Half a sphere

Great Circle:Plane that contains the center of the sphere, the radius is the same as the one for the sphere

Surface Area of a Sphere:

Volume of a Sphere:

Find the surface area.

11

Find the volume.

10.5

The center of the sphere is C and its circumference is 17  feet. a. What is half of the sphere called? Hemisphere

The center of the sphere is C and its circumference is 17  feet. b. Find the radius of the sphere.

The center of the sphere is C and its circumference is 17  feet. c. Find the diameter of the sphere. r = 8.5ft d = 17ft

The center of the sphere is C and its circumference is 17  feet. d. Find the volume of the hemisphere. 2

SA = 324  ft 2 Find the radius of a sphere with the given information.

V = 36  in 3

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, 12-17, 23 HW Problems #23, Just find the volume… V = hemisphere + cone