Answer:
The radius of each disk is given by r = y + 2, and the height of each disk is given by h = √x.
Therefore, we can write:
V = ∫[0,4] π(√x + 2)^2 dx
Evaluating this integral gives:
V = π(32/3 + 16√2)
So, the volume of the solid generated by revolving this region around y = -2 is approximately 58.643.
Therefore, the answer is C.