2018 EJC P1 Q1
The shaded region $R$ bounded by the curve $x=5-{{\left( y-1 \right)}^{2}}$, the line $x=5-{{\left( y-1 \right)}^{2}}$ and the $x$-axis is rotated about the $x$-axis through $360{}^\circ $. Find the volume of the solid formed, leaving your answer to $2$ decimal places.
[4]
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