1. Volume of a Sphere
Objective: To solve problems involving volumes of spheres and hemispheres

2. Volume of a Sphere Theorem V (sphere) = 4/3 Π r3
Theorem: Sphere Volume
The volume of a sphere with radius r is V = ________.
4/3 Π r3
V (sphere) = 4/3 Π r3

3. Volume of a Hemisphere one-half 2/3 Π r3
A hemisphere is _________ a sphere, so
V(hemisphere) = _______.
one-half
ALERT!
2/3 Π r3

4. Example: Finding Sphere Volume
EXAMPLE A
Find the volume of a sphere that has a radius of 6 inches.
V (sphere) = 4/3 Π r3
V (sphere) = ____________

5. Example: Using Sphere Volume to Find the Radius
EXAMPLE B
Find the radius of a sphere that has a volume of 2304 Π cubic centimeters.
V (sphere) = 4/3 Π r3
______= ____________

6. Final Checks for Understanding: Mixed Review
A plastic bowl is in the shape of a cylinder with a hemisphere cut out. The dimensions are shown.
a. What is the volume of the cylinder?
b. What is the volume of the hemisphere?
c. What is the volume of plastic used to make the bowl?

7. Final Checks for Understanding: Mixed Review
An ice cream cone is 9 cm deep (height) and 4 cm across the top (diameter). A single scoop of ice cream, 4 cm in diameter, is placed on the cone. If the ice cream melts into the cone, will it overflow?

8. Homework Assignment
Sphere Volumes WS