Volume of Rotations

Question

Calculate the volume of a solid generate by the area bounded by y = x, y = 4 - x and y = 4 rotated about the line x = -2.

Here is what I have. I am not sure if this is correct.

π ∫₀² ((2+y)²-2²)dy+ π ∫₂⁴ ((2+(4-y))²-2²)dy

67.021

Answer 1

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