Question: Solve the following vector calculus problem. 12. A cylindrical pipe of radius r and length / must be slid on the floor from one corridor

Solve the following vector calculus problem.

12. A cylindrical pipe of radius r and length / must be slid on the floor from one corridor to a perpendicular corridor, each 3 meters wide. See figure below. Find the dimensions of the pipe that maximize its volume V. Hint: As in the figure below, assume that the opposite ends of the pipe touch the walls when the angle between the pipe and the wall is /4. 2r 3 meters

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