The line segment with end points \((1,2)\) and \( (12,a) \) (where \(a \gt 2 \) ) is rotated through \(360^\circ \) about the \(x\)-axis to create a frustum of a cone.
The same line segment is rotated through \(360^\circ \) about the \(y\)-axis to create another frustum of a cone.
If the difference in volumes of these two frustums is \(50\) cubic units, find the sum (to 3d.p.) of the possible values of \(a\).
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