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The diagram shows part of the curve \(y = \frac { 4 } { 5 - 3 x }\).
- Find the equation of the normal to the curve at the point where \(x = 1\) in the form \(y = m x + c\), where \(m\) and \(c\) are constants.
The shaded region is bounded by the curve, the coordinate axes and the line \(x = 1\). - Find, showing all necessary working, the volume obtained when this shaded region is rotated through \(360 ^ { \circ }\) about the \(x\)-axis.