The document discusses finding the volume of pyramids and cones. It provides the formulas for calculating volume of a cone as 1/3πr^2h and volume of a pyramid as 1/3Bh, where B is the area of the base and h is the height. Examples are given to practice applying these formulas, such as finding the volume of ice cream in a cone or the area of the base of a trapezoidal pyramid given its volume and height.

1. 12.5 Volume of Pyramids & Cones
HW pg. 832 #4­24 evens 1
April 17, 2014
Bellwork
Get a cylinder and a prism from the back table.
Find the volume of each.
Put bellwork in homework bin.

2. 12.5 Volume of Pyramids & Cones
HW pg. 832 #4­24 evens 2
April 17, 2014
12.5 Volume of Pyramids and Cones
Objectives:
1. To use the formulas for the volumes of pyramids & cones.
How is finding the volume of a
cone/pyramid similar to finding the
volume of a cylinder/prism?
A pyramid is a portion of a prism.
A cone is a portion of a cylinder.
The relationship is 1
/3.

3. 12.5 Volume of Pyramids & Cones
HW pg. 832 #4­24 evens 3
April 17, 2014
**Remember to use the perpendicular height**
Volume of a Cone :
V = 1
/3 πr2
h
Volume of a Pyramid:
V = 1
/3Bh
where B is the area of the base &
h is the height of the pyramid.

4. 12.5 Volume of Pyramids & Cones
HW pg. 832 #4­24 evens 4
April 17, 2014
Find the volume of the square
pyramid.
7 cm
12 cm
How much ice cream would be atop
a cone with a diameter of 2 in if
the ice cream is 3 inches high?

5. 12.5 Volume of Pyramids & Cones
HW pg. 832 #4­24 evens 5
April 17, 2014
A trapezoidal pyramid has a
volume of 420 cubic yards. If
the height of the pyramid is 6
yards, what is the area of the
pyramid's base?

6. 12.5 Volume of Pyramids & Cones
HW pg. 832 #4­24 evens 6
April 17, 2014
12.5 HW
pg. 832
#4-24 evens