# Volume of Revolution: Parabola and Lines

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Find the volume of the solid generated by revolving the region between the parabola

x = y^2 + 1 and the line x =3 about the line x =3.

https://brainmass.com/math/calculus-and-analysis/volume-revolution-parabola-lines-7645

#### Solution Preview

put x = 3 in x = y^2 + 1:

=> y = +-sqrt(2)

therefore,

V = ...

#### Solution Summary

A volume of revolution is calculated. The parabola and lines to generate a revolving region is found.

$2.49