Calculate volume of a uniform tetradecahederon

Geometry Level 5

The diagram above shows a uniform tetradecahedron that has 2 congruent regular hexagonal faces each with side of length a=20 cm & 12 congruent trapezoidal faces each having three equal sides each a=20 cm. All its 18 vertices eventually & exactly lie on a spherical surface with a certain radius. Find out the volume (in cubic cm.) of the solid.

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