The answers I'd expect to hear would be questions.
What is the cross section of the hole?
Is it constant?
Was the sphere a solid?
When you say the hole is four centimeters long can I assume that is from the now missing apexes of the sphere or must I take into account that the the material removed is not a cylinder asuming the answer to the first two questions was a circular and yes. Top and bottom are not flat...
Can I assume that level of accuracy is not especially relevant.
If so why do you want 14 significant digits?
Oh and what about the edge case, if the hole was circular and constant and 4cm in diameter, the answer would be 0.0000000001268.
You do know about the issues with floating point representation?
So one asks one self, are you qualified to estimate the suitability of software developer?
Personally, I would say you have yet to demonstrate the ability to do so. But I've mellowed, a few years ago I would have named you clueless.
If I was asked this question.
I would give an engineer's solution
Melt it, pour it in a measuring jug....
