Volume of Pyramids,
Cones & Spheres
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Given the same diameter and height for each
figure, drag them to arrange in order of smallest
to largest volume.
How many filled cones
do you think it would
take to fill the
cylinder?
How many filled
spheres do you think it
would take to fill the
cylinder?
Demonstration comparing volume of Cones
& Spheres with volume of Cylinders
click to go to web site
Volume of a Cone
A cone is 1/3 the
volume of a
cylinder with the
same base area (B)
and height (h).
(Area of Base x Height)  3
1
click
to reveal
(Area
of Base x Height)
3
Volume of a Sphere
A sphere is 2/3 the
volume of a
cylinder with the
same base area (B)
and height (h).
V = 2/3 (Volume of Cylinder)
2
V = 2/3 ( r h)
click to reveal
or
3
V = 4/3  r
How much ice cream can a Friendly’s Waffle cone
hold if it has a diameter of 6 in and its height is 10 in?
(Just Ice Cream within Cone. Not on Top)
23 Find the volume.
9 in
4 in
24 Find the Volume
5 cm
8 cm
If the radius of a sphere is 5.5 cm, what is its
volume?
25 What is the volume of a sphere with a radius
of 8 ft?
26 What is the volume of a sphere with a
diameter of 4.25 in?
Volume of a Pyramid
A pyramid is 1/3
the volume of a
prism with the
same base area (B)
and height (h).
(Area of Base x Height)  3
1
of
click(Area
3 to reveal
Base x Height)
Pyramids are named by the shape of their base..
The volume is a pyramid is 1/3 the volume of a
prism with the same base area(B) and height (h).
1
V = Bh
3
V = 1 Bh
3
=5 m
27 Find the Volume of a triangular pyramid with
base edges of 8 in, base height of 4 in and a
pyramid height of 10 in.
10 in
4 in
8 in
28 Find the volume.
15.3 cm
7 cm
8 cm