The diagram shows a shaded region $R$ bounded by the curve ${{\left( y-2 \right)}^{2}}=x+1$ and the

Question

The diagram shows a shaded region $R$ bounded by the curve ${{\left( y-2 \right)}^{2}}=x+1$ and the line $y+2x=6$. Find the volume generated when $R$ is rotated through $2\pi $ radians about the $x$-axis, leaving your answer correct to $3$ significant figures. [4]

Accepted Answer

$78.6$ units$^3$

2013 AJC Promo Q8 (b)

2013 AJC Promo Q8 (b)

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