The ball is a sphere.
Volume of a sphere: 4/3 * `pi` * r^3
The radius of the ball is 11.
4/3 * `pi` * 11^3 = 5324/3 * `pi`
The volume of the ball is 5324/3 * ``
The hole drilled through the ball is a cylinder.
Volume of a cylinder: `pi` * r^2 * h
The radius of the hole is 5. The height of the cylinder is the same as the diameter of the ball, so the height is 22.
`pi` * 5^2 * 22 = 550 * `pi`
To find the volume of the resulting solid, subtract the volume of the cylinder from the volume of the sphere.
(5324/3 * `pi` ) - (550 * `pi` ) = 3674/3 `pi`