The region $R$ is bounded by the curve $x = 6y - y^2$ and $y = x$. Find the volume generated w

Question

The region $R$ is bounded by the curve $x = 6y - y^2$ and $y = x$. Find the volume generated when region $R$ is rotated through $2\pi$ about the $x$-axis, $y$-axis.

Accepted Answer

(a) $\dfrac{625\pi}{6}\text{ units}^3\approx327\text{ units}^3$ (b) $\dfrac{625\pi}{3}\text{ units}^3\approx654\text{ units}^3$

Applications of Integrations Q7 [March Holiday Revision Set]

Applications of Integrations Q7 [March Holiday Revision Set]

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