A ball of radius 13 has a round hole of radius 7 drilled through its center.

Find the volume of the resulting solid.

a sphere of radius R with a hole of radius r has volume

V = 4π/3 (R^2 - r^2)^(3/2)

a web search will easily provide the integration, done most simply with spherical coordinates. Come back if you get stuck.

Here is such a video, all you have to do is change the constants.

you tube. com/watch?v=mQFcq3qn8CU&ab_channel=JimFowler

(delete the space after "you" and in front of "com" which I inserted to fool the algorithm that prevents us to post links)