# Are you getting dizzy?

Geometry Level 4

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 $$a-9b+c$$.

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