Question 1181642
I'm assuming that the numbers refer to the diameters of the sphere and hole
One interesting fact about spheres with holes bored through the diameter is:
The volume that remains is equal to the volume of a sphere with the diameter 
equal to the height of the hole

The volume that remains after the hole is drilled is 4/3pi*h^3 where h is
the half-height of the hole. The radius of the sphere, the radius of the hole
and h form a right triangle. Thus h = sqrt(5^2-2^2)
So the bored out volume = 4/3pi*5^3 - 4/3pi*h^3 = 523.6 - 403.1 = 120.5 in^3