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The domain E of R^3 located inside the sphere x^2 + y^2 + z^2 = 12...

The domain E of R^3 located inside the sphere x^2 + y^2 + z^2 = 12 and above half-cone z = sqrroot(( x^2 + y^2) / 3) (a) Represent the domain E.

(b) Calculate the volume of solid E with a triple integral in Cartesian coordinates.

(c) Recalculate the volume of solid E using the cylindrical coordinates.

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