1. Volume of Pyramids, Cones, and Sphere

2. Lesson Objective
Students will use the formula for the volume of a pyramid, cone, and sphere to solve problems.

3. Lesson Beginning
Find the volume. A cube with edges of 8ft

4. Volume of Pyramids
Volume of a pyramid is one-third the product of the area of the base and the height of the pyramid.
V= 1 3 Bh

5. Volume of Cones
Volume of a cone is one-third the product of the area of the base and the height of the cone.
V= 1 3 Bh

6. Volume of Spheres
Volume of a sphere is the product of 𝟒 𝟑 𝝅 and the cube of the radius of the sphere.
𝑽= 𝟒 𝟑 𝝅 𝒓 𝟑

7. Modeling
Find the volume.

8. Modeling
Find the volume.

9. Modeling
Find the volume.

10. Practice

11. Find the height.

12. Practice
Find the volume.

13. Practice
Find the volume.

14. Practice
The volume of sunscreen in Bottle B is about how many times the volume in Bottle A?
Which is the better buy?

15. Practice
Do the two solids have the same volume? Explain.

16. Practice
Your friend says that the volume of a sphere with radius r is four times the volume of a cone with radius r. When is this true? Justify your answer.