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    Multivariable Calculus : Volume of Solid of Revolution

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    Find the volume of the solid that lies below the surface z = f(x, y) and above the region in the xy-plane bounded by the given curves: z = 1 + x^2 + y^2; y = x, y= 2 - x^2

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    Solution Preview

    Ok, because it is above xy-plane so the lower limit of z would be ...

    Solution Summary

    The volume of a solid of revolution is found.