Volume pyramid notes
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Course 3
8-6 Volume of Pyramids and Cones
A pyramid is a three-dimensional figure whose base is apolygon, and all of the other faces are triangles.It is named for the shape of its base.
A cone has a circular base. The height of a pyramid or coneis measured from the highest point to the base along aperpendicular line.
Course 3
8-6 Volume of Pyramids and Cones
VOLUME OF PYRAMIDS AND CONES
(22)
Course 3
8-6 Volume of Pyramids and Cones
Additional Example 1A: Finding the Volume of
Pyramids and Cones
Find the volume of the figure. Use 3.14 for !.
13
V = • 14 • 6
V = 28 cm3
V = Bh1
3
B = (4 • 7) = 14 cm212
Slant height-the height of one of
the sides. It’soutside the pyramid.
Course 3
8-6 Volume of Pyramids and Cones
Additional Example 1B: Finding the Volume of
Pyramids and Cones
13
V = • 9! • 10
V = 30! " 94.2 in3
V = Bh1
3
B = !(32) = 9! in2
Use 3.14 for !.
Find the volume of the figure. Use 3.14 for !.
Area of the base
Course 3
8-6 Volume of Pyramids and Cones
13
V = • 17.5 • 7
V " 40.8 in3
V = Bh1
3
B = (5 • 7) = 17.5 in212
5 in.
7 in.
7 in.
Find the volume of the figure. Use 3.14 for !.
Area of 1 face
Course 3
8-6 Volume of Pyramids and Cones
13
V = • 9! • 7
V = 21! " 65.9 m3
V = Bh1
3
B = !(32) = 9! m2
Use 3.14 for !.
Check It Out: Example 1B
7 m
3 m
Find the volume of the figure. Use 3.14 for !.
Course 3
8-6 Volume of Pyramids and Cones
Exploring the Effects of Changing Dimensions
A cone has a radius of 3 ft. and a height of 4 ft.Explain whether tripling the height would have thesame effect on the volume of the cone as tripling theradius.
*When the height of the cone is tripled, the volume istripled.*When the radius is tripled, the volume becomes 9 timesthe original volume.