>>12258147The volume of a sphere is and the shell of a hollow sphere has the volume of the sphere minus the volume of the cavity. If the sphere you describe has a diameter of 19 feet (228 inches) then the radius of the sphere is 114 inches and the radius of the cavity you describe is 104 inches.
I put the following into Wolfram Alpha:
And got the answer of cubic inches.
That's about 864.6 cubic feet, about 6468 gallons, about 32 cubic yards, about 24.48 cubic meters, or a single cube about 114.3 inches (9.5 feet) to a side.
The reason it's so big is because 10 inches is ridiculously thick, like how thick do you need that sphere to even be?