1. Volume of a Cylinders, Cones, and Spheres How much will I hold. MGSE8
Volume of a Cylinders, Cones, and Spheres How much will I hold? MGSE8.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 of a circle.
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 of a Cylinder =
V = πr²h

5. Example:
A can of tomato soup is a cylinder with a radius of 3.5 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. Volume of a Cone
Cone – Is “pointed” like a pyramid, but its base is a circle. h
V = ⅓Лr2h r
Area of the Base
A = r2
Height of the cone, not to be confused with the slant height (l)

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

9. Volume of a Sphere

10. Volume of a Sphere

11. Volume of a Sphere
2 cm

12. Volume of a Sphere
10 cm