The difference between the volumes is 79.55 cubic inches.
The volume of a sphere of radius R is:
[tex]V = (4/3)*3.14*R^3[/tex]
Here we have two spheres, the larger has a diameter of 6 inches, so its radius is:
R = 6in/2 = 3in
The smaller ball has a radius of 2 in.
Then the difference between the volumes is:
[tex]V = (4/3)*3.14*( (3in)^3 - (2in)^3) = 79.55 in^3[/tex]
If you want to learn more about volumes, you can read:
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