Final answer:
The volume of the resulting solid can be found by subtracting the volume of the inner sphere from the volume of the outer sphere.
Step-by-step explanation:
The resulting solid after drilling a hole through the center of a ball of radius 10 is a spherical shell. The volume of the spherical shell can be calculated by subtracting the volume of the inner sphere (with radius 9) from the volume of the outer sphere (with radius 10).
To find the volume of the resulting solid, we can use the formula for the volume of a sphere, which is V = (4/3)πr³. So, the volume of the outer sphere is (4/3)π(10)³ and the volume of the inner sphere is (4/3)π(9)³. Subtracting the volume of the inner sphere from the volume of the outer sphere gives us the volume of the resulting solid.
Therefore, the volume of the resulting solid is (4/3)π[(10)³ - (9)³] cubic units.