Spheres

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Spheres - PowerPoint PPT Presentation

Spheres. Warm Up. Find the circumference of a circle with a radius of 6. 2. Find the area of a circle with a diameter of 7. Definition of a Sphere. Sphere – the set of all points in space that are the same distance, r, from a given point known as the center of the sphere. .

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Presentation Transcript

Spheres

Warm Up

Find the circumference of a circle with a radius of 6.

2. Find the area of a circle with a diameter of 7.

Definition of a Sphere
• Sphere – the set of all points in space that are the same distance, r, from a given point known as the center of the sphere.
7.6.1 Volume of a Sphere
• The volume, V, with radius, r, is given by:

V=4/3πr

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Example 1
• The envelope of a hot-air balloon has a radius of 27 feet when fully inflated. Approximately how many cubic feet of hot air can the hot-air balloon hold?
7.6.2 Surface Area of a Sphere
• The surface area, S, of a sphere, with radius, r, is given by:

S=4πr

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Activity
• The radius of a Munchkin Donut is 2.3 inches. Find the surface area and volume of the munchkin.
• If a box has a volume of 15 in how many Munchkins can fit in the box?

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Homework Assignment
• Page: 474 #8-18 even, 20