1. October 24th /25th 6-7 Volume of Pyramids and Cones You will need:
Composition Book
Calculator
Pencil
High Lighters
Pre-Algebra

2. Learn to find the volume of pyramids, cones and spheres

3. A pyramid is named for the shape of its base
A pyramid is named for the shape of its base. The base is a polygon, and all of the other faces are triangles. A cone has a circular base. The height of a pyramid or cone is measured from the highest point to the base along a perpendicular line.

4. VOLUME OF PYRAMIDS AND CONES
(22)
Remember B = area of base
Fill these in on your pink formula sheet

5. Finding the Volume of Pyramids and Cones
Find the volume of the figure.
V = Bh A. 1 3 1 2
V = ( bh )h 1 2 1 3 1 2
V = ( · 4 · 7 ) · 6 1 3
V = • 14 • 6
V = 28 cm3

6. Finding the Volume of Pyramids and Cones
Find the volume of the figure.
V = Bh B. 1 3 1 3
V = • (32) • 10 1 3
V = • 9 • 10
V = 30
 94.2 in3

7. Finding the Volume of Pyramids and Cones
Find the volume of the figure.
V = Bh C.
V = (l w) h 1 3 1 3
V = • (14 • 6) • 10 1 3
V = • 84 • 10
V = 280 m3

8. Finding the Volume of Pyramids and Cones
Find the volume of the figure.
V = Bh A. 1 3
V = Bh
5 in.
7 in.
V = ( ½ bh )h 1 2 1 3 1 2
V = ( · 5 · 7 ) · 7 1 3
V = • 17.5 • 7
V = 40.8 cm3

9. Finding the Volume of Pyramids and Cones
Find the volume of the figure.
V = Bh B.
V = 1 3 1 3
V = • (32) • 7
7 m 1 3
V = • 9 • 7
3 m
V = 21
 65.9 in3

10. Try This: Example 1C
Find the volume of the figure.
V = Bh C.
V = (l w)h 1 3
8 ft 1 3
V = • (4 • 4) • 8
4 ft
4 ft 1 3
V = • 16 • 8
V  42.7 ft3

11. A sphere is the set of points in three dimensions that are a fixed distance from a given point, the center. A plane that intersects a sphere through its center divides the two halves or hemispheres. The edge of a hemisphere is a great circle.

13. Finding the Volume of a Sphere
Find the volume of a sphere with radius 9 cm, both in terms of p and to the nearest tenth of a unit. 4 3
V = pr3
Volume of a sphere
= p(9)3 4 3
Substitute 9 for r.
= 972p cm3
 3,052.1 cm3

14. Try This
Find the volume of a sphere with radius 3 m, both in terms of p and to the nearest tenth of a unit. 4 3
V = pr3
Volume of a sphere
= p(3)3 4 3
Substitute 3 for r.
= 36p cm3
 m3

15. Copy down the homework in your agenda
THEN
Clear your desk and have out a pencil!