1 / 7

12.6 Surface Area & Volume of Spheres

12.6 Surface Area & Volume of Spheres. Definitions. Sphere – the locus of points in space that are a given distance from a given point. (looks like a ball) Center of a Sphere – the given point in the middle. Radius of a Sphere – segment from the center to a point on the sphere.

marshall-porter
Télécharger la présentation

12.6 Surface Area & Volume of Spheres

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 12.6 Surface Area & Volume of Spheres

  2. Definitions • Sphere – the locus of points in space that are a given distance from a given point. (looks like a ball) • Center of a Sphere – the given point in the middle. • Radius of a Sphere – segment from the center to a point on the sphere. • Chord of a Sphere – a segment whose endpoints are on the sphere. • Diameter of a Sphere – a chord that goes through the center.

  3. Parts of a Sphere C is the center of the sphere. AB is a diameter. CB & AC are radii. DE & AB are chords. C A B E D

  4. Thm 12.11 – Surface Area of a Sphere S = 4r2 (it takes 4 circles to cover a sphere) Why isn’t there a lateral area formula? Because spheres have no bases! Ex: Find the surface area of a sphere with a diameter of 8 cm. S = 4(4)2 S = 4(16) S = 64 cm2

  5. More Definitions • Great Circle of a Sphere – the cross section of a sphere sliced by a plane through its center. • Hemisphere – ½ of a sphere. ** Every great circle splits a sphere into 2 hemispheres.

  6. C = 2r 16 = 2r 16 = 2r 8 m = r S = 4r2 S = 4(8)2 S = 4(64) S = 256 m2 Ex: The circumference of a great circle of a sphere is 16 m. What is the surface area of the sphere?

  7. Thm 12.12 – Volume of a Sphere Ex: Find the volume of a sphere with a radius of 3 ft. V = 36 ft3

More Related