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M4U-9709-IN26-E-VO028 marks

E-VO02 · One region, two rotation axes

The region R is enclosed by \(y=6-x^2\) and \(y=2\).

Find the intersection coordinates.

[2]

Find the volume generated by rotating R about the x-axis.

[3]

Find the volume generated by rotating R about the y-axis.

[3]
Rotate this same region about each requested coordinate axis.

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