Applications of Integrations Q2 [March Holiday Revision Set]
Applications of Integrations Q2 [March Holiday Revision Set]
The region \(R\) is bounded by the curve \(y={{x}^{2}}-4x+6\) and the line \(y=6\).
Find the volume generated when region \(R\) is rotated through \(2\pi \) about the
- \(x-\)axis,
- \(y-\)axis.
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Answer:(a) \(\dfrac{1408\pi}{15}\text{ units}^3\approx295\text{ units}^3\) (b) \(\dfrac{128\pi}{3}\text{ units}^3\approx134\text{ units}^3\)
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