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

[Dhamnekar Win,odd]

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:

[Dhamnekar Win,odd]

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

Edited June 25, 2022 by Dhamnekar Win,odd