Consider the solid region bounded below by the xy-plane and above by the function f(x , y) = y, and whose shadow when flattened straight down into the xy-plane is the region R bounded by y = the square root of 9-x², and y=o.

(a) Sketch the region R.

(b) Setup double integrals to compute the volume of the solid in two different ways ways (different orders of integration).

(c) Choose an order (of integration) to evaluate the integral.