Volume of Pyramids, Cones

1
Volume of Pyramids, Cones Spheres
2
Given the same diameter and height for each
figure, drag them to arrange in order of smallest
to largest volume.
How many filled spheres do you think it would
take to fill the cylinder?
How many filled cones do you think it would
take to fill the cylinder?
3
Demonstration comparing volume of Cones Spheres
with volume of Cylinders
click to go to web site
4
Volume of a Cone
A cone is 1/3 the volume of a cylinder with the
same base area (B) and height (h).
5
Volume of a Sphere
A sphere is 2/3 the volume of a cylinder with the
same base area (B) and height (h).
6
How much ice cream can a Friendlys 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)
7
23
Find the volume.
8
24
Find the Volume
9
If the radius of a sphere is 5.5 cm, what is its
volume?
10
25
What is the volume of a sphere with a radius of 8
ft?
11
26
What is the volume of a sphere with a diameter of
4.25 in?
12
Volume of a Pyramid
A pyramid is 1/3 the volume of a prism with the
same base area (B) and height (h).
13
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). V Bh
1 3
1 3
V Bh
5 m
side length 4 m
14
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.
15
28
Find the volume.