jroam001

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Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.

1)

y=1-25x^2, and y=0

Find the volume V of this solid.
Sketch the region, the solid, and a typical disk or washer.

2)

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis.

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