The diagram shows the shaded region $R$ bounded by the curve ${{\left( x-3 \right)}^{2}}+{{\left( y-

Question

The diagram shows the shaded region $R$ bounded by the curve ${{\left( x-3 \right)}^{2}}+{{\left( y-1 \right)}^{2}}=8$ and the line $y=x-2$. State the exact area of the region $R$. [1] Find the volume generated when region $R$ is rotated through $2\pi $ radians about the $y$-axis. [4]

Accepted Answer

(i) $4\pi$ units²; (ii) $304$ units³

JPJC Tutorial Question 11

JPJC Tutorial Question 11

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