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