Question

By using triple integral, find the volume of the solid bounded by the cylinder y^2+4z^2=16 and planes x=0 and x+y =4

Answer 1

It would be first convenient to convert the first equation to polar coordinates.
$$y^2 + 4z^2 = 16 \\ \frac 1 4 y^2 + z^2 = 4$$
Try it.