1. Warm Up Give the formulas for the volume of the following figures Cylinder:__________________Prism:__________________ Pyramid:__________________Cone:___________________

2. Today’s Lesson: Volume of Spheres March 31, 2014

3. What is a Sphere? A sphere is a set of all point in space equidistant from a given point called the center. This sounds just like the definition of a circle. What differences do you notice about the sphere(to the left) and a regular circle?

4. r Radius of a Sphere Just like a circle a Sphere has a radius and a diameter as well!!!! So what can we say about the diameter? A radius is a segment that has one endpoint at the center and the other endpoint on the sphere.

5. If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES. You can think of the globe. The equator cuts the earth into the northern and southern hemisphere. Which hemisphere do we live on?

6. Look at the cross section formed when you cut a sphere in half. What shape is it? A circle!!! This is called the GREAT CIRCLE of the sphere. This is where the diameter and the radius are located. Unlike circles the diameter and radius have to go through a particular part of the sphere.

8. Volume of a Sphere

9. 2 cm Volume of a Sphere (round to the nearest hundredths)

10. 10 cm Volume of a Sphere

11. You Try!!! Find the volume of the following figures. 7 cm 25 m

12. 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

13. Did I hear someone say this is easy? Well let’s take it up a notch!!!!!!!!!

14. ? cm Find the radius

15. ? cm Find the diameter

16. You Try!!!! ? cm r ≈ 6 cm

17. You Try!!!! ? cm d ≈ 24 cm

18. What about finding the volume of a hemisphere?

20. Now let’s make things a little more challenging!!!!!!!!!

21. Finding the volume of composite Figures!!!!

24. You Try!!!!