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Spheres. Lesson 9-4. Spheres. Definition:. In space, the set of all points that are a given distance from a given point, called the center. . A sphere is formed by revolving a circle about its diameter. Spheres – special segments & lines.

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spheres
SpheresLesson 9-4

Lesson 9-4: Spheres

spheres2
Spheres

Definition:

In space, the set of all points that are a given distance from a given point, called the center.

A sphere is formed by revolving a circle about its diameter.

Lesson 9-4: Spheres

spheres special segments lines
Spheres – special segments & lines

Radius: A segment whose endpoints are the center of the sphere and a point on the sphere.

Chord: A segment whose endpoints are on the sphere.

Diameter: A chord that contains the sphere’s center.

Tangent: A line that intersects the sphere in exactly one point.

Diameter

Tangent

Chord

Radius

Lesson 9-4: Spheres

surface area volume of sphere

r

Surface Area & Volume of Sphere

Surface Area (SA) = 4 π r2

Volume (V) =

12 cm

Example:

Find the surface area and volume of the sphere.

Lesson 9-4: Spheres

great circle hemisphere
Great Circle & Hemisphere

Great Circle: For a given sphere, the intersection of the sphere and a plane that contains the center of the sphere.

Hemisphere: One of the two parts into which a great circle separates a given sphere.

Great Circle

Hemisphere

Lesson 9-4: Spheres

surface area volume of hemisphere
Surface Area & Volume of Hemisphere

Find the surface area and volume of the following solid (Hemisphere).

10 cm

Lesson 9-4: Spheres