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Using line integral to find the lateral surface area of some part of a cylinder

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Use a line integral to find the lateral surface area of the part of the cylinder [math]x^2 +y^2 =4[/math] below the plane x + 2y + z =6  and above the xy-plane.

How to answer this question? What is the answer of this question?
Graph of the required lateral surface area of the cylinder is given below:

image.png.6eeac25314434b25f5456f88a5a9b2d2.png

image.png.ee90e7fcce9cf12b6815fe5cc2ceb05f.png

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 I got the answer to this question. I computed it as follows: [math]\displaystyle\int_0^{2\pi} 12 dt = 24\pi[/math]  

Edited by Dhamnekar Win,odd

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