1. Volume of Cylinders, Cones and Spheres
8.G.9

2. What is VOLUME?
The measure of the interior of a space (three-dimensional) figure.
A unit for measuring volume is the cubic unit (to the 3rd power.)
Simply the amount of space inside a 3D figure.

3. Mathematical Examples of Cylinders, Cones, and Spheres

4. Real World Examples of Cylinders, Cones, and Spheres

5. Exact and Approximate Answers
Exact answers are left in terms of pi.
Answer includes the pi symbol.
Approximate answers use 3.14 to multiply.
Answer does not include the pi symbol.
Exact
V = 325π ft³
V = in³
App

6. Finding the Volume of a Cylinder
V = πr²h
V = π (2 in)² (4 in)
V = π (4 in²) (4 in)
V = π (16 in³)
V = 16π in³
V = 16(3.14) in³
V = in³
Exact
4 in
App
2 in

7. Bell Ringer
What 3D figures are used to make the figure below?

8. Finding the Volume of a Cone
V = 1/3 πr²h
V = 1/3 π (5 in)² (6 in)
V = 1/3 π (25 in²) (6 in)
V = 1/3 π (150 in³)
V = 50π in³
V = 50(3.14) in³
V = 157 in³
5 in
Exact
6 in
App

9. Directions: Give exact and approximate answers.
Bell Ringer
Directions: Give exact and approximate answers.
Jill wants to fill a Campbell’s soup can with water but doesn’t know how much water she needs. If the cylindrical can has a radius of 1 inch and a height of 4 inches, what is the volume?
Jacob wants to put strawberry ice cream in his ice cream cone and doesn’t want to fill it above the rim. How much ice cream will be in the cone if it has a diameter of 4 inches and a height of 6 inches?

10. Bell Ringer Answers V = 1/3 πr²h V = 1/3 π (2 in)² (6 in)
Campbell’s Soup Can:
Radius = 1 inch
Height = 4 inches
V = πr²h
V = π (1 in)² (4 in)
V = π (1 in²) (4 in)
V = π (4 in³)
V = 4π in³
V = 4(3.14) in³
V = in³
Ice Cream Cone:
Diameter = 4 inches
Height = 6 inches
V = 1/3 πr²h
V = 1/3 π (2 in)² (6 in)
V = 1/3 π (4 in²) (6 in)
V = 1/3 π (24 in³)
V = 8π in³
V = 8(3.14) in³
V = in³

11. Finding the Volume of a Sphere
V = 4/3 πr³
V = 4/3 π (24 in)³
V = 4/3 π (13824 in³)
V = 18432π in³
V = 18432(3.14) in³
V = in³
Exact
24 in
App