1. Volume of a Cylinders, Cones, and Spheres How much will I hold? MCC8.G.9

2. Definitions
A cylinder has two identical flat ends that are circular and one curved side.
Volume is the amount of space inside a shape, measured in cubic units

3. Definitions
Diameter is the measure of a line segment from edge to edge through the center.
Radius is the measure from the center to a point on the circle.
Height is the distance between
the two bases.
Pi or π = 3.14
height
radius

4. Finding the Volume
Formula… Volume = (area of base) x (height) A = πr² Remember…the base is a circle!!! Soooo, V = πr²h

5. Example:
A can of tomato soup is a cylinder with a diameter of 7 cm and a height of 10 cm. What’s the volume of the can?

6. Example:
What if you only have the diameter? d = 8 cm h = 11 cm

7. d = 10 cm
V = 275 cm³
Find the height of the
cylinder.

8. Volume of a Cone
Cone – Is “pointed” like a pyramid, but its base is a circle. h
V = ⅓Bh r
Area of the Base
A = r2
Height of the cone, not to be confused with the slant height (l)

9. Example 1:
Area of Circle
V = ⅓Bh = (⅓)r2h
11in
6 in

10. Solve for the missing variable
The following cone has a volume of 110. What is its radius?
V = ⅓Bh
10cm r

11. Volume of a Sphere

12. Volume of a Sphere

13. Volume of a Sphere
2 cm

14. Volume of a Sphere
10 cm

15. Volume of a Sphere
A spherical balloon has an initial radius of 5 in. When more air is added, the radius becomes 10 in. What is the difference in the two volumes?
5 in
10 in