Hello there !

Greetings!

This type of questions are not difficult to solve, you can easily solve them provided provided your basic concepts about moment of inertia is clear but I am extremely sorry to tell you dear but I can't provide you the solution of the question you have asked as its difficult to write Mathematical symbols and formulas here.
But you don't need to worry at all, you can get the solution of the question you have asked by going through our page for which link is provided below :-

https://learn.careers360.com/engineering/question-solve-from-a-solid-sphere-of-mass-m-and-radius-r-a-cube-of-maximum-possible-volume-is-cut-moment-of-inertia-of-cube-about-an-axis-passing-through-its-center-and-nbspperpendicular-to-one-of-its-faces-is/

Thankyou