The region $R$ is bounded by the curve $y={{\mathrm{e}}^{x}}-3$, the line $y=6-x$ and the $x-$axis.

Question

The region $R$ is bounded by the curve $y={{\mathrm{e}}^{x}}-3$, the line $y=6-x$ and the $x-$axis. Find the volume generated when region $R$ is rotated through $2\pi $ about the $x-$axis, $y-$axis.

Accepted Answer

(a) $81.2\text{ units}^3$ (b) $186\text{ units}^3$

Applications of Integrations Q1 [March Holiday Revision Set]

Applications of Integrations Q1 [March Holiday Revision Set]

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