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Let $ABCD$ be a trapezium with $AB$ and $CD$ parallel. We have $AB=3, BC=AD=3\sqrt { 2 }, CD=9$ . Calculate the sum the volumes of the solids obtained by spinning the trapezium around all its sides.

If the total volume can be written as $(a+b\sqrt { c } )\pi$ . Calculate $a-9b+c$ .