To determine the volume when the region is revolved around the line y = -2, we can use the shell method. We need to integrate the circumference of a shell multiplied by its height.
The circumference of a shell with radius r and height h is given by 2πr, and the height of each shell is given by y + 2.
The first quadrant bounded by √x, y = 2 and the y-axis creates a solid that is symmetrical about y axis. We can integrate from y = 0 to y = 2 to obtain the volume of the solid.
The integral becomes:
V = ∫(2πy)((√y+2)^2)dy
After simplification, we get:
V = 32π/5 + 128π/3
The value of V is approximately 103.323
Therefore, the correct answer is (G) 103.323.