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1) 2 (right) circular cones and one circular, right cylinder interpenetrate, with the bases of each cone and both bases (ends) of the cylinder sealed fitting flat circular surfaces. What is the maximum number of pieces (completely bounded volumes) that can thereby be formed, with the surfaces of the three figures as boundaries and counting (ONLY) pieces not further subdivided?

2) A cube and a tetrahedron are interpenetrated. Give the maximum number of solid pieces (bounded volumes not further subdivided) that can thereby be formed.

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