Volume of Spheres Objective: 1) To find the volume of a sphere.

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Presentation transcript:

Volume of Spheres Objective: 1) To find the volume of a sphere.

Spheres Sphere – The set of all points in space equidistant from a given point. Center r Radius – Is a segment that has one the center & the other endpt on the sphere. Diameter – A segment passing through the center w/ both endpts on the sphere.

Volume of a sphere V s = (4/3)  r 3 Radius of a sphere r

Ex.3: Find the volume of the following sphere. 30m V s = (4/3)  r 3 = (4/3)  (15) 3 = (4/3)  (3375) = 4500  = 14137m 3

25What is the volume of a sphere with a radius of 8 ft?

26What is the volume of a sphere with a diameter of 4.25 in?

Find the volume of the sphere. Leave your answer in terms of. V = r 3 Use the formula for the volume of a sphere = 15 3 Substitute r = = = 4500Simplify. The volume of the sphere is 4500 cm 3. Surface Areas and Volumes of Spheres Lesson 11-6 Quick Check Additional Examples 11-6 Finding Volume

2 cm Volume of a Sphere (round to the nearest hundredths)

10 cm Volume of a Sphere

5 in Volume of a Sphere A spherical balloon has an initial radius of 5 in. When more air is added, the radius becomes 10 in. Explain how the volume changes as the radius changes. 10 in