This is in fact answerable from information available on the intart00bz, if
you just generalize your visualization: Start from the point of view of two
cylinders of equal diameter intersecting at right angles. The name
"Steinmetz" comes into play.

On Sat, 28 Apr 2018 21:13:58 +0000, David Shaw <xxxxxx@gmail.com> wrote:

>Could some kind soul please save my sanity? I cannot work this out and
>cannot find an answer on the inter-thingy.
>
>Take two cylinders of equal diameter and arbitrary length greater than
>their diameter. Place one across the top of the other to form a 'T' shape.
>What is the volume of the piece you need to cut out of the top of the stem
>of the 'T' so that the cross piece fits snugly into it?

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