Project Lovecraft Problem 3

[danbaron]

Problem 3

Numerically estimate (or calculate) the volume of the part of Sphere 0 which is not
intersected by any of Spheres 1-6.

0. x^2 + y^2 + z^2 = 64

1. (x - 8*(2^0.5))^2 + y^2 + z^2 = 64

2. (x + 8*(2^0.5))^2 + y^2 + z^2 = 64

3. x^2 + (y - 8*(2^0.5))^2 + z^2 = 64

4. x^2 + (y + 8*(2^0.5))^2 + z^2 = 64

5. x^2 + y^2 + (z - 8*(2^0.5))^2 = 64

6. x^2 + y^2 + (z + 8*(2^0.5))^2 = 64

DTB.