Use Cylindrical Coordinates to Evaluate the Triple Integral $$\iiint _ { E } y d V$$

Short Answer

Use cylindrical coordinates to evaluate the triple integral
$$\iiint _ { E } y d V$$
where $E$ is the solid that lies between the cylinders $x ^ { 2 } + y ^ { 2 } = 3$ and $x ^ { 2 } + y ^ { 2 } = 7$ above the $x y$ -plane and below the plane $z = x + 4$ .