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bonanova

Put a cork in it [locked]

Question

It's not hard to visualize a convex solid that will snugly pass through each of the 2" holes shown below.

The shapes are the outlines of the solid when viewed along three orthogonal axes.

In fact there are an infinite number of convex solids that can do this.

Describe or draw one of them.

What is the maximum volume such a solid?

What is the minimum volume?

post-1048-0-63411800-1344235437_thumb.gi

By snugly it is meant that the entire perimeter of each hole is contacted as the solid passes through it.

Edited by bonanova
Add the red question.

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I'm locking this thread because I posted it previously in a and where further solutions can be placed.

Sic transit gloria memory

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