The region $R$ is bounded by the curve $x={{y}^{2}}-4y$ and $y=x+4$. Find the volume generated when

Question

The region $R$ is bounded by the curve $x={{y}^{2}}-4y$ and $y=x+4$. Find the volume generated when region $R$ is rotated through $2\pi $ about the $x-$axis, $y-$axis.

Accepted Answer

(a) $\dfrac{45\pi}{2}\text{ units}^3\approx70.7\text{ units}^3$ (b) $\dfrac{108\pi}{5}\text{ units}^3\approx67.9\text{ units}^3$

Applications of Integrations Q6 [March Holiday Revision Set]

Applications of Integrations Q6 [March Holiday Revision Set]

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