13.3 volume of spheres
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13.3 Volume of Spheres
Objectives Find Volumes of Spheres Solve problems involving Volumes of
Spheres
Formula for Volume of a Sphere
Where V is Volume, and r is radius, the formula for the volume of a sphere is………….
V = 4/3πr³
A Sphere
This is a sphere.
r
Example 1
24 in.
Find the Volume of this sphere.
V = 4/3r³
Answer: V ≈ 57,905.8 in³
Example 2
Find the Volume of this sphere.
C = 36cm
Answer: V ≈ 787.9 cm3
Example 3
18 cm
Find the Volume.
Answer: V ≈ 3035.6 cm3
Hemispheres and Their Volumes
http://mathworld.wolfram.com/Hemisphere.html
The way to calculate the volume of this hemisphere is by using this formula.
V = ½(4/3r3) or 2/3r³
Example 4
http://mathworld.wolfram.com/Hemisphere.html
If your diameter is 4 ft, find the volume of this Hemisphere.
V ≈ 16.8 ft³
Assignment
Pages 704-706 #9-22, 30 & 31,
32-Extra Credit
Assignment
Pages 704-706 #9-22, 30 & 31
32-Extra Credit
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