Calculate the volumes of pyramids and cones

1. Volume of Pyramids and Cones
The student is able to (I can):
• Calculate the volumes of pyramids and cones

2. The volume of a pyramid with base area B and height h is
1
3
V Bh=
The volume of a cone is
21 1
3 3
V Bh r h= = π

3. Examples
Find the volume of the following:
1.
2.
10 mm
10 mm
13 mm
2 yd
3 yd
2 yd

4. Examples
Find the volume of the following:
1.
2.
2
22 3
3 yd
4
B = =
31
( 3)(3) 3 yd
3
V = =
10 mm
10 mm
13 mm
5 mm (½ of 10)
12 mm
(Pyth. triple)
21
(10 )(12)
3
V =
3
400 mm=
2 yd
3 yd
2 yd

5. Examples
3.
4.
7 ft.
21 ft.
25 mi
20 mi

6. Examples
3.
4.
7 ft.
21 ft. 2
3
1
(7 )(21)
3
343 ft
V = π
= π
25 mi
20 mi
2
3
1
(10 )(25)
3
2500
mi
3
V = π
= π